parallel to 5x-y=4 and passing through (-2,0)

Question

Show me how to properly solve this problem step by step parallel to 5x-y=4 and passing through (-2,0)

Answer 1

Hi, Stacia.

Okay, so first you need to know that the equation of a line is

y = mx + b  (where  m is the slope and b is the y intercept)

 

Since we know that this line is parallel to 5x-y = 4, we need to find its slope and they will have the same slope.

Let's rewrite this equation in slope-intercept form:

5x-y = 4

y = 5x - 4  (y = mx + b)

So now we know that the slope of the line is 5.

So now we just need to know what b is so let's substitute the point (-2,0) into the equation:

y = 5x + b

0 = -10 + b

b = 10

 

Now we can write the equation of the line parallel to 5x-y=4 and passing through (-2,0):

 

y = 5x + 10

 

Answer 2

It must have the same slope, so

 

m = -5/-1 = 5

 

y = 5x + b

 

Use the given point to find b.

 

0 = 5(-2) + b

 

b = 10

 

y = 5x + 10

 

Test the answer.