Question
Sketch the graph of y = 2x - 5.
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: - 3
Step 1 of 2:
Find two coordinate points of the equation.
When x = 0,
y = 2x - 5
y = 2(0) - 5
y = 0 - 5
y = - 5
When x = 1,
y = 2x - 5
y = 2(1) - 5
y = 2 - 5
y = - 3
Thus, the required points are: .
Step 2 of 2:
Plot the points and join them to get the graph of the equation.
Thus, the 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
Simplify each expressions and state the domain : 
Simplify each expressions and state the domain :
Reduce the following rational expressions to their lowest terms
Reduce the following rational expressions to their lowest terms
Describe the error student made in multiplying and simplifying
Describe the error student made in multiplying and simplifying
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.
=1 why is a valid identity under the domain of all real numbers except 
.
is:
, then their HCF can be ________.
