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Chapter 4: Q. 317 (page 520)

In the following exercises, graph the line of each equation using its slope and y-intercept.

4x-3y=6

Short Answer

Expert verified

The required graph of line is:

Step by step solution

01

Step 1. Given information.

The equation 4x-3y=6.

02

y=mx+bStep 2. Find slope and y-intercept.

Solve the given equation for y :

4x-3y=63y=4x-6y=43x-2

Now, compare the obtained equation with slope-intercept form y=mx+b

m=43;b=-2

So, slope is 43and y-intercept is -2.

03

Step 3. Graph the line using y-intercept and slope.

Plot the y-intercept0,-2 and for second point, use the slope which is given as 43that is;

rise=4,run=3

So, plot the second point at 3,2.

Then, graph the line joining these two points:

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