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Chapter 4: Q. 391 (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.

391.Slope -1and y-intercept (0,7).

Short Answer

Expert verified

The equation of the line with the given slope -1and y-intercept (0,7) is y=-x+7.

Step by step solution

01

Step 1. Given data  

We have to find the equation of the line.

For that we have,

Slope(m)=-1

y-intercept=(0,7)

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�1(x1,y1)=(0,7)

Let us substitute these in the point-slope formula,

That is,

localid="1647352821994" y鈭�7=鈭�1(x鈭�0)y鈭�7=鈭�x..........(1)

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

Therefore, adding 7from both sides of the equation we get,

y鈭�7+7=鈭�x+7y=鈭�x+7

Hence y=-x+7is the equation of the line with slope -1and y-intercept (0,7).

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