Write the point slope form of the equation given (-4,0) parallel to y=3/4x−2

klasyvea

klasyvea

Answered question

2022-11-19

Write the point slope form of the equation given (-4,0) parallel to y = 3 4 x - 2

Answer & Explanation

cismadmec

cismadmec

Beginner2022-11-20Added 22 answers

The equation in the problem is in slope-intercept form. The slope-intercept form of a linear equation is: y=mx+b
Where m is the slope and b is the y-intercept value.
y = 3 4 x - 2
Therefore the slope of this line is m = 3 4
Because the line we are looking for is parallel to the line in the problem we know it will have the same slope.
We can now use the point-slope formula to find the equation for the line we are looking for. The point-slope formula states: ( y - y 1 ) = m ( x - x 1 )
Where m is the slope and ( x 1 y 1 ) is a point the line passes through.
Substituting the point from the problem and the slope from the parallel line gives:
( y - 0 ) = 3 4 ( x - - 4 )
( y - 0 ) = 3 4 ( x + 4 )

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