find the slope of this line: goes through (6,-7), parallel to y=4x+2

Question

find the slope of this line: goes through (6,-7), parallel to y=4x+2

Answer 1

If line A is parallel to line B, then line A and line B have the same slope.

 

Since the line is parallel to y = 4x + 2, then the slope of the line is 4

 

**To take it a step further, let's find an equation for this line.

Since we know the slope is 4 and it passes through (6,-7), then we can solve for b in our y = mx + b formula where

 

m = 4

x = 6

y = -7

 

y = 4x + b

-7 = 4(6) + b

-7 = 24 + b

b = -31

 

Therefore, our equation is y = 4x - 31

Plug in y = 4x + 2 and y = 4x - 31 at wolframalpha.com to see the results yourself.