Question

Write an equation for the line that is parallel to y=-4x+2 and goes through (0,7)

Answer 1

Answer: y=-4x+7

Explanation:

To find a parallel line, we know that the slope must be the same because parallel lines NEVER touch or cross. All we have to do is use the given point to find the y-intercept.

y=-4x+b

7=-4(0)+b [multiply]

b=7

Now, we know that the final equation is y=-4x+7.

Answer 2

The answer is

y = - 4x + 7

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 parallel line we must first find the slope of the original line

The original line is y = - 4x + 2

Comparing with the general equation above

Slope / m = - 4

Since the lines are parallel their slope are also the same

Slope of parallel line = - 4

So the equation of the line using point (0,7) and slope - 4 is

`y - 7 = - 4(x - 0) \\ y - 7 = - 4x`

We have the final answer as

y = - 4x + 7

Hope this helps you