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Chapter 4: Q. 386 (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.

386.slope 3and y-intercept (0,5)

Short Answer

Expert verified

The equation of the line with the given slope3andy-intercept(0,5)isy=3x+5

Step by step solution

01

Step 1. Given data

We have to find the equation of the line.

For that we have,

Slope(m)=3

y-intercept=(0,5)

02

Step 2. Equation of the line

We have the point-slope formula y鈭�y1=m(x鈭�x1)

Where localid="1647276955717" mis the slope and (x1,y1)is a point through which the line passes.

Here,

m=3(x1,y1)=(0,5)

Let us substitute these in the point-slope formula,

That is,

localid="1647282585051" y鈭�5=3(x鈭�0)y鈭�5=3xy=3x+5

Hence y=3x+5is the equation of the line with slope localid="1647276972492" 3and localid="1647276961288" y-intercept(0,5).

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