Question
Sketch the graph of
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 = 0 + 2
y = 2
When x = 4,
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:
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.
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Find the extraneous solution of
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Sketch the graph of y = 2x - 5.
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Describe the error student made in multiplying and simplifying
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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.