Question

What is an equation of the line that is parallel to y=5x−7 and passes through (1, 11) ? Enter your equation in the box.

Answer 1

`y = 5x + 6`

Step-by-step explanation

The equation of the given line is

`y=5x-7`

This line is in the slope -intercept form,

`y = mx + c`

where

`m = 5`

is the slope.

The line which is parallel to this line and passes through (1,11) also has slope

`m = 5`

Let the equation of this line be

`y = mx + b`

This implies

`y = 5x + b`

We substitute x=1 and y=11 to get

`11 = 5(1) + b`

`b = 11 - 5 = 6`

The required equation is

`y = 5x + 6`