Question

1. Write the equation of the line parallel to y = 7x – 5 and going through the point (4,31).

Answer 1

Answer:

y=7x+3

Step-by-step explanation:

Hi there!

We are given the equation y=7x-5 and we want to find the equation of the line that is parallel to it, and contains the point (4,31)

First, let's find the slope of y=7x-5, since parallel lines have the same slopes

The line y=7x-5 is written slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

Since 7 is in the place of where m is, the slope of the line is 7

It's also the slope of the line parallel to it.

We can substitute 7 as m into the formula y=mx+b for our new line:

y=7x+b

Now we need to find b

Since the equation will pass through the point (4, 31), we can use it to solve for b; substitute 31 as y and 4 as x

31=7(4)+b

Multiply

31=28+b

Subtract 28 from both sides

3=b

Substitute 3 as b

y=7x+3

Hope this helps!