Question

Given that Line A goes through points (-4,5) and (8,8). Write an equation of a line that is parallel to Line A, and goes through point: (-12,-10).

Answer 1

Answer:

$y + 10 = \frac{1}{4 } (x + 12)$

Or

$y =\frac{1}{4 } x -7$

Step-by-step explanation:

We need to find the slope using the points (-4,5) and (8,8).

The slope formula is given by:

$m= \frac{y_2 -y_1 }{x_2 -x_1 }$

We plug in the values to get:

$m = \frac{8 - 5}{8 - - 4}$

$m = \frac{3}{12} = \frac{1}{4}$

Parallel lines have the same slope.

Using the point slope formula, the equation is given by:

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

We substitute the point (-12,-10) to get;

$y - - 10 = \frac{1}{3} (x - - 12)$

$y + 10 = \frac{1}{4 } (x + 12)$

Or

$y =\frac{1}{4 } x -7$