Question

Write an equation that represents the line.
Use exact numbers.

Answer 1

ANSWER

The equation of the given line is

$4y - 3x + 18 = 0$

EXPLANATION

The line passes through the points
$(2,-3) \: and \: ( - 2,-6)$

We can use these two points to determine the slope as follows:

$slope = \frac{ - 6 - - 3}{ - 2 - 2}$

$slope = \frac{ - 6 + 3}{ - 2 - 2}$

$slope = \frac{ -3}{ - 4} = \frac{3}{4}$

We now apply the point slope formula

$y-y_1=m(x-x_1)$

to obtain,

$y + 3 = \frac{3}{4} (x - 2)$

We multiply through by 4 to get,

$4y + 12 = 3(x - 2)$

This gives us,

$4y + 12 = 3x - 6$

We simplify further to get,

$4y - 3x + 18 = 0$