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Chapter 4: Q. 387 (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.

387.slope 4and y-intercept(0,1)

Short Answer

Expert verified

The equation of the line with the given slope 4and y-intercept (0,1)is y=4x+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)=4

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,

m=4(x1,y1)=(0,1)

Let us substitute these in the point-slope formula,

That is,

localid="1647282602319" y鈭�1=4(x鈭�0)y鈭�1=4xy=4x+1

Hence y=4x+1is the equation of the line with slope 4and y-intercept (0,1).

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