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Chapter 4: Q4.84. (page 500)

Identify the slope and y-intercept of the given line

3x+2y=12

Short Answer

Expert verified

Slope=-12y-intercept=(0,6)

Step by step solution

01

Step 1. Given information.

Consider the given linear equation,

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=122y=-3x+12y=-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

And the equation of the line,

y=-32+6

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

The slope ism=-12and the y-intercept is(0,6).

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Most popular questions from this chapter

In the following exercises, find three solutions to each linear equation.

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(a) (3,2)(b)(1,4)(c)(0,-4)

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