Question

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

Answer 1

Answer:

$y = 4x - 12$

Step-by-step 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

$y = 4x - 12$