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Chapter 4: Q. 129 (page 532)

Find an equation of a line parallel to the liney=3x+1that contains the point(4,2). Write the equation in slope-intercept form.

Short Answer

Expert verified

The equation of the line in slope-intercept form isy=3x-10

Step by step solution

01

Step 1. Given Information.

The equation of line, y=3x+1.

The point is(6,4).

02

Step 2. Finding the slope.

The slope-intercept form is,

y=mx+b

Comparing the equation y=3x+1we get,

m1=3

The slope of the parallel lines is equal.

m1=m2鈬�m2=3

03

Step 3. Equation of the line.

The point-slope form is,

(y-y1)=m(x-x1)

Inputting the values,

(y-2)=3(x-4)y-2=3x-12y=3x-10

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