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Chapter 2: Problem 98

Explain how to use intercepts to graph the general form of a line's equation.

Short Answer

Expert verified
To graph a line using intercepts, find the x-intercept and y-intecept by setting y = 0 and x = 0 respectively in the equation of the line. Plot these intercepts on a graph and draw a line through these points鈥攖hat's your line!

Step by step solution

01

Identify the Equation's Standard Form

Check the given equation and make sure it is in the form Ax + By = C. This is the standard form of a linear equation, and most suitable for finding intercepts.
02

Find the x-intercept

To find the x-intercept, set y = 0 in the equation and solve for x. This gives the value of x where the line crosses the x-axis.
03

Find the y-intercept

To find the y-intercept, set x = 0 in the equation and solve for y. This gives the value of y where the line crosses the y-axis.
04

Plot the intercepts

On a graph, plot the x-intercept and y-intercept. These are the points where the line crosses the x-axis and y-axis respectively.
05

Draw the line

Once the x-intercept and y-intercept are plotted, draw a straight line through them. This is a graphical representation of the equation.

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