Question

Find an equation of the line having the given slope and containing the given point.

4
m =
(1, -8)
5
The equation of the line is y=0
(Type an expression using x as the variable. Simplify your answer. Use integers or fractions for any numbers in the

Answer 1

`y = 4x - 12`

Explanation:

The equation of a line has the following format:

`y = mx + b`

In which m is the slope and b is the y-intercept(value of x when y = 0).

In this question:

Slope 4, which means that
`m = 4`.

So

`y = 4x + b`

Contains point (1,-8).

This means that when
`x = 1, y = -8`. We replace this into the equation to find b. So

`y = 4x + b`

`-8 = 4(1) + b`

`b = -12`

So

`y = 4x - 12`