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Chapter 4: Q. 389 (page 537)

In the following exercises, find the equation of a line with a given slope and y-intercept. Write the equation in slope-intercept form.

389.Slope 8and y-intercept (0,-6).

Short Answer

Expert verified

The equation of the line with the given slope 8 and y-intercept(0,-6)isy=8x-6.

Step by step solution

01

Step 1. Given data 

We have to find the equation of the line.

For that we have,

Slope(m)=8

y-intercept=(0,-6)

02

Step 2. Equation of the line 

We have the point-slope formula y鈭�y1=m(x鈭�x1)

Where mis the slope and (x1,y1)is a point through which the line passes.

Here,

m=8(x1,y1)=(0,-6)

Let us substitute these in the point-slope formula,

That is,

role="math" localid="1647284670277" (y鈭�y1)=m(x鈭�x1)y鈭�(鈭�6)=8(x鈭�0)y+6=8xy=8x鈭�6

Hence y=8x-6is the equation of the line with slope 8and y-intercept (0,-6).

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