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Chapter 4: Q. 4.84 (page 500)

Identify the slope and y-intercept of the given line

3x+2y=12.

Short Answer

Expert verified

The slope is, m=-32and the y-intercept is (0,6).

Step by step solution

01

Step 1. Given information.

Given equation,6

3x+2y=12.

02

Step 2. This equation is not in slope-intercept form. 

In order to compare it to the slope-intercept form, we must first solve the equation for y.

Solve for y,

3x+2y=12鈬�2y=-3x+12鈬�y=-32+6

03

Step 3. Now Simplify, We compare our equation to the slope-intercept form of the equation. 

Write the slope-intercept form of the equation of the line.

y=mx+c...(1)

And the equation of the line,

localid="1653592353738" y=-32+6...(2)

Compare equations 1 and 2 and identify the slope and y-intercept.

The slope is, localid="1653591724543" m=-32and the y-intercept is (0,6)

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