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

`y + 10 = (1)/(4 ) (x + 12)`

Or

`y =(1)/(4 ) x -7`

Explanation:

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

The slope formula is given by:

`m= (y_2 -y_1 )/(x_2 -x_1 )`

We plug in the values to get:

`m = (8 - 5)/(8 - - 4)`

`m = (3)/(12) = (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 = (1)/(3) (x - - 12)`

`y + 10 = (1)/(4 ) (x + 12)`

Or

`y =(1)/(4 ) x -7`