Write the equation of the line that is parallel to the line y=−74x−2 y
=
−
7
4
x
−
2
through the point (4,-2).

The answer is

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the line parallel to the equation above we must first find the slope of the above equation

y = - 74x - 2

Comparing with the above formula

Slope = - 74

Since the lines are parallel their slope are also the same

Slope of parallel line = - 74

Equation of the line using point (4 , -2) and slope - 74 is

y + 2 = 74( x - 4)

y + 2 = 74x - 296

y = 74x - 296 - 2

We have the final answer as

Hope this helps you