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Chapter 4: Q. 300 (page 520)

In the following exercises, identify the slope and y-intercept of each line.

6x+4y=12

Short Answer

Expert verified

Required slope is-32 andy-intercept is 3.

Step by step solution

01

Step 1. Given information. 

The equation6x+4y=12.

02

Step 2. Solve the given equation for y.

Solve the equation 6x+4y=12 for y.

6x+4y=124y=-6x+12y=14-6x+12y=-32x+3

03

Step 3. Compare the obtained equation with slope-intercept form of equation.

Compare the obtained equation y=-32x+3with y=mx+b.

m=-32;b=3

So, slope is-32and y-intercept is 3.

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