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Chapter 4: Q. 4.84 (page 500)

Find the slope and y-intercept of the given line

3x+2y=12

Short Answer

Expert verified

Ans) The slope is m=-32

The y-intercept is(0,6)

Step by step solution

01

Step 1. Given information.

given,

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+12(Subtract3xfromeachside)y=-32x+6(Dividebothsideby2)

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

y=mx+c

Write the equation of the line.

y=-32x+6

Identify the slope.

m=-32

Identify the y-intercept.

y-interceptis(0,6)

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