write the general form of the equation of a line that is parallel to the given line and passes through the given point. y= -1/3x+2 (-4,0)

Answered question

2021-11-04

write the general form of the equation of a line that is parallel to the given line and passes through the given point. y= -1/3x+2 (-4,0)

Answer & Explanation

Vasquez

Vasquez

Expert2021-11-16Added 669 answers

Given

y=13×x+2

Find

Parallel equation at points (-4,0)

Solution

In order for 2 equations to be parallel they need to have the same slope.

Therefore, the slope of the parallel equation is m=13

Now to put this in slope intercept form

y=mx+b

m= slope

b= y-intercept

Knowing the slope is m=13

The parallel equation is thus far

y=13x+2

Apply the points of interest

0=(13)×(4)+b

043=b

b=43

Solution

y=(13)x43

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