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Chapter 4: Q. 394 (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.

394.Slope 35and y-intercept (0,-1).

Short Answer

Expert verified

The equation of the line with the given slope 35and y-intercept (0,-1) is y=35x-1.

Step by step solution

01

Step 1. Given data    


We have to find the equation of the line.

For that we have,

Slope m=35

y-intercept=(0,-1)

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="1647358389185" m=35(x1,y1)=(0,鈭�1)

Let us substitute these in the point-slope formula,

That is,

localid="1647358399875" y鈭�(鈭�1)=35(x鈭�0)y+1=35(x-0)

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

Therefore, substracting 1from both sides of the equation we get,

localid="1647358410757" y+1鈭�1=35x鈭�1y=35x鈭�1

Hence localid="1647358421167" y=35x鈭�1is the equation of the line with slope localid="1647358431628" 35and y-intercept (0,-1).

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