Question
Sketch the graph of ![y equals fraction numerator negative 3 over denominator 4 end fraction x plus 2](data:image/png;base64,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)
Hint:
A linear equation is in the form ax + by + c=0
A graph is a geometrical representation of an equation. A coordinate point (x, y) consists of the distance from the horizontal and vertical axis as coordinates.
We are asked to sketch the graph of the given equation.
The correct answer is: - 1
Step 1 of 2:
Find two coordinate points of the given equation,
When x = 0,![y equals fraction numerator negative 3 over denominator 4 end fraction x plus 2](data:image/png;base64,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)
![y equals fraction numerator negative 3 over denominator 4 end fraction left parenthesis 0 right parenthesis plus 2](data:image/png;base64,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)
y = 0 + 2
y = 2
When x = 4,
![y equals fraction numerator negative 3 over denominator 4 end fraction x plus 2](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAF8AAAAjCAYAAADyrNZPAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAilJREFUeNrtmd9HQ2EYx4+ZJN1ksosuxuwiSbrNJJEkMxNJkqTbLvoH0kUiXUwX3SS7SBJJkpnIJJlEMkkS6X/oYmY39X14xjqdrZ3t/Hw9Xz6cveds5nve8/w6muY/jYMcKIEyeAe7IKSJbNcNmAEdNWvD4EqscU9fYoE7ioI3scFZhcEyx/1pscMZfetYE0usMdKIeuoBKfAAxsRKd9TNN0DkkspigTsa4qQrslm3YBYEQYA73k+wJNbYr1GQ5TBT5o434cH/GQdn3PxVQBEsyO1z7gmd52KANAAKvCZqozRuVRHwrF/MgDmDi6l52VLIuBWwbbC+yefsNt+wKqNktaNb6+IKImRxY+S2nngsURWNJ/Yc2vkjHHp+ieYip7q1DbCuYNiYAmk+ngB5h8JOJzeCcf0J2t0vNZ97wQd/wY1xglXU0zWPI4ra/y9hrHjKaQxyASbrXVCqOU5rjYdVfg471VxW4ebM7oQbZeNjjS664wujvOsDilYr1fo73WLZZ8b8fnDA+bOhDkESHINFRY2njXXJZlD9/aiZf/fbrPlhzqPBZh/FjFEdqogoj+V0ZlNnfGST+Vne+U0pxT+cVNB4etl+DvoMzp1wBeRkYfFHZPq9hw1M+CCRt6wcNwFeFMXnV1XNH+QY5VXtc/uv7M73cmmYt2iuIjKZKKn6ioj5zosmkKsWzFVEJkWtf6HN1l7UomgCGBPz3ZGfB3fK3hCRmC/m+1o/nkazT5SqbnEAAACydEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPnk8L21pPjxtbz49PC9tbz48bWZyYWM+PG1yb3c+PG1vPiYjeDIyMTI7PC9tbz48bW4+MzwvbW4+PC9tcm93Pjxtbj40PC9tbj48L21mcmFjPjxtaT54PC9taT48bW8+KzwvbW8+PG1uPjI8L21uPjwvbWF0aD4CvtE5AAAAAElFTkSuQmCC)
![y equals fraction numerator negative 3 over denominator 4 end fraction left parenthesis 4 right parenthesis plus 2](data:image/png;base64,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)
y = - 3 + 2
y = - 1
Thus, the required points are:
Step 2 of 2:
Plot the points and join them to get the graph of the equation.
Thus, the required graph is:
![](data:image/png;base64,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)
We only require just two coordinate points to graph a linear equation in two variables. In case of a quadratic equation we would need at least three coordinate points.
Related Questions to study
Explain how you can use your graphing calculator to show that the rational expressions
and
are equivalent under a given domain. What is true about the graph
at x = 0and Why?
Explain how you can use your graphing calculator to show that the rational expressions
and
are equivalent under a given domain. What is true about the graph
at x = 0and Why?
If
then find the quotient from the following four option, when A is divided by B.
If
then find the quotient from the following four option, when A is divided by B.
Find the extraneous solution of ![square root of 8 x plus 9 end root equals x](data:image/png;base64,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)
Find the extraneous solution of ![square root of 8 x plus 9 end root equals x](data:image/png;base64,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)
Explain why the process of dividing by a rational number is the same as multiplying by its reciprocal.
Explain why the process of dividing by a rational number is the same as multiplying by its reciprocal.
Sketch the graph of y = 2x - 5.
Sketch the graph of y = 2x - 5.
Simplify each expressions and state the domain : ![fraction numerator x squared plus 2 x plus 1 over denominator x cubed minus 2 x squared minus 3 x end fraction](data:image/png;base64,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)
Simplify each expressions and state the domain : ![fraction numerator x squared plus 2 x plus 1 over denominator x cubed minus 2 x squared minus 3 x end fraction](data:image/png;base64,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)
Reduce the following rational expressions to their lowest terms
![fraction numerator 8 x to the power of 5 minus 8 x over denominator open parentheses 3 x squared plus 3 close parentheses left parenthesis 4 x plus 4 right parenthesis end fraction](data:image/png;base64,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)
Reduce the following rational expressions to their lowest terms
![fraction numerator 8 x to the power of 5 minus 8 x over denominator open parentheses 3 x squared plus 3 close parentheses left parenthesis 4 x plus 4 right parenthesis end fraction](data:image/png;base64,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)
Describe the error student made in multiplying and simplifying![fraction numerator x plus 2 over denominator x minus 2 end fraction cross times fraction numerator x squared minus 4 over denominator x squared plus x minus 2 end fraction](data:image/png;base64,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)
![](data:image/png;base64,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)
Describe the error student made in multiplying and simplifying![fraction numerator x plus 2 over denominator x minus 2 end fraction cross times fraction numerator x squared minus 4 over denominator x squared plus x minus 2 end fraction](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJEAAAAqCAYAAACz1bmVAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAbSkFbcgAAAodJREFUeNrtmzFLA0EQhYOIiIggIiIWQhARi/RiYSNi4R8IVmInFvaWNlapbMTSQhARkWATLCwsAiJi4Q+xEpt1FkZIcZC72925mcv74IExRTZzc7tvLrxGA1SBY/2SXkkrKAkoyxjpiPSOUoBQflACEMIW6QVlCGeTdEf6Zp/wQdofge+9yJ6oKfBZe+zDaou/E9ukaX69zsVt1/g7r5K63Eip8XX9stpEIYteJn3WeAd6Is0Ifd4l6bCKJvIfep7x/zN+L3UTWTSceWvmG2hN0Co8R7oepfCj58LA6wPShdBOtMFHmjXy1MxlKAUTvJsvV9lEu6QO/7090NGpm2iS1Oe7yBqhNYuJ3xWPI54MpenxGOonprkcTTNMw5glPZB2DHueIjVrJKppK2Mnr6yJTnjsbgkY6yY3kPWfAUJqFot+Rh0raaL/5zedkuN2kUV7o3lFmjLeQKE1izkZh5wIUfC7wiNfVP+c4a3E1px3sd6I3pLGjTdQjJppfeRSmHkeQwcL4J94XidadFdw5NVes1o0kR8L70lLGe/d8PQhufVaoIqaqd+JAAAAlOGUVfQ9AIY2CxoIBDUSGqgC525BeRupV6CBHJTsWpjejXrYhQCOMwBjDTDiAyA6jCDJqgDrkSEkWRVQl8gQkqzKsBYZQpI1gxiRoVG5syWTrOasRWhkKAQrkSHJJKtJa1FV/MVKZCgkyWrpZ4NgazGKkSGJJKtLsB611kIy/qIpMpQ6yeoSrEeltZCMv2iLDKU+yp2y9SSxFpLxF62RIQ1JVrPWQjr+ojUylPIod8rWE9VaIDIkc5Q7ZevRbC1MInGUO2Xr0W4tTCF1lDtl69FuLcygLclqwlr8AZ9jjl1vEeAzAAABb3RFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtZnJhYz48bXJvdz48bWk+eDwvbWk+PG1vPis8L21vPjxtbj4yPC9tbj48L21yb3c+PG1yb3c+PG1pPng8L21pPjxtbz4mI3gyMjEyOzwvbW8+PG1uPjI8L21uPjwvbXJvdz48L21mcmFjPjxtbz4mI3hENzs8L21vPjxtZnJhYz48bXJvdz48bXN1cD48bWk+eDwvbWk+PG1uPjI8L21uPjwvbXN1cD48bW8+JiN4MjIxMjs8L21vPjxtbj40PC9tbj48L21yb3c+PG1yb3c+PG1zdXA+PG1pPng8L21pPjxtbj4yPC9tbj48L21zdXA+PG1vPis8L21vPjxtaT54PC9taT48bW8+JiN4MjIxMjs8L21vPjxtbj4yPC9tbj48L21yb3c+PC9tZnJhYz48L21hdGg+lJj0xwAAAABJRU5ErkJggg==)
![](data:image/png;base64,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)
The LCM of the polynomials
is.
The LCM of the polynomials
is.
Write the equation in slope-intercept form of the line that passes through the points (5, 4) and (-1, 6).
The slope intercept form is y = mx + b, where m represents the slope and b represents the y-intercept. We can draw the graph of a linear equation on the x-y coordinate plane using this form of a linear equation.
Steps for determining a line's equation from two points:
Step 1: The slope formula used to calculate the slope.
Step 2: To determine the y-intercept, use the slope and one of the points (b).
Step 3: Once you know the values for m and b, we can plug them into the slope-intercept form of a line, i.e., (y = mx + b), to obtain the line's equation.
Write the equation in slope-intercept form of the line that passes through the points (5, 4) and (-1, 6).
The slope intercept form is y = mx + b, where m represents the slope and b represents the y-intercept. We can draw the graph of a linear equation on the x-y coordinate plane using this form of a linear equation.
Steps for determining a line's equation from two points:
Step 1: The slope formula used to calculate the slope.
Step 2: To determine the y-intercept, use the slope and one of the points (b).
Step 3: Once you know the values for m and b, we can plug them into the slope-intercept form of a line, i.e., (y = mx + b), to obtain the line's equation.