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Chapter 4: Q. 388 (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.

388.slope 6and y-intercept (0,-4).

Short Answer

Expert verified

The equation of the line with the given slope 6and y-intercept (0,-4)is role="math" localid="1647281932618" y=6x-4.

Step by step solution

01

Step 1. Given data

We have to find the equation of the line.

For that we have,

Slope(m)=6

y-intercept=(0,-4)

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,

localid="1647283000983" m=6(x1,y1)=(0,-4)

Let us substitute these in the point-slope formula,

That is,

localid="1647338641234" y-(-4)=6(x-0)y+4=6x...........(1)

Now we have to rewrite this into slope-intercept form, that isy=mx+b

Therefore, subtracting 4from both sides of the equation (1)we get,

y+4-4=6x-4y=6x-4

Hence localid="1647283591270" y=6x-4is the equation of the line with slope 6and y-intercept (0,-4).

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Most popular questions from this chapter

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