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Chapter 4: Q. 392 (page 537)

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

392.Slope -2and y-intercept (0,-3).

Short Answer

Expert verified

The equation of the line with the given slope -2and y-intercept (0,-3)is y=-2x-3.

Step by step solution

01

Step 1. Given data  

We have to find the equation of the line.

For that we have,

Slope(m)=-2

y-interceptlocalid="1647354048137" =(0,-3)

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=鈭�2(x1,y1)=(0,-3)

Let us substitute these in the point-slope formula,

That is,

y鈭�(-3)=鈭�2(x鈭�0)y+3=鈭�2x

Now we have to rewrite this into slope-intercept form, that is

Therefore, substracting 3from both sides of the equation we get,

localid="1647354570732" y+3-3=鈭�2x-3y=鈭�2x-3

Hence localid="1647354580200" y=-2x-3is the equation of the line with slope -2and y-intercept (0,-3).

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