Question

Find the slope of the line passing through the pair of points.
(-4,5) and (0, 2)

Answer 1

slope =
`-(3)/(4)`

Explanation:

1) To find the slope between a pair of points, use the slope formula:
`(y_2-y_1)/(x_2-x_1)`.

`x_1` and
`y_1` represent the x and y values of one point the line passes through.
`x_2` and
`y_2` represent the x and y values of another point the line also passes through. We know the line passes through (-4,5) and (0,2). So, substitute their x and y values for the formula (following the appropriate order) and solve:

`((2)-(5))/((0)-(-4)) \\= (2-5)/(0+4) \\= (-3)/(4)`

Thus, the slope is
`-(3)/(4)`

Answer 2

y = 3/-4x + 2

Explanation: