Other methods used to graph linear equations are by plotting points and using x-intercept and y-intercept.
When we are given a slope-intercept form of a linear equation, we can use the slope and y-intercept to graph the equation.
The slope-intercept form of an equation isy = mx + b, where m is the slope of the line and b is the y-intercept.
Step 1: Find the y-intercept and plot the point.
Step 2: From the y-intercept, use the slope to find the second point and plot it.
Step 3: Draw a line to connect the two points.
Example :
Rewrite the following equation in slope-intercept form to determine the slope and y-intercept :
3x = 4y – 7
Solution :
Rewrite 3x = 4y – 7 in the form y = mx+ c
3x = 4y – 7
4y = 3x + 7
y =
The slope is and the y-intercept is
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