Question

Line a passes through the points (-2, 1) and (3, 6). What is the slope of a line parallel to line A?

Answer 1

Slope = 1

Explanation:

Slope formula:
`(y2-y1)/(x2-x1)`

Given points: (-2, 1), (3, 6)

(-2, 1) = (x1, y1)

(3, 6) = (x2, y2)

When two lines are parallel, their slopes are equal. So to find the slope of a line parallel to line A, all we need to do is find the slope of line A. To do this, input the given points into the formula used to find slope:

`(6-1)/(3-(-2))`

Simplify:

6 - 1 = 5

3 - (-2) = 3 + 2 = 5

`(5)/(5)=1`

The slope of line A and the line parallel to it is 1.

Hope this helps :)