Question

A certain line has a slope of 3 and contains the point (-5, 0). Which of the following points are on the same line? Select all that apply.

A
(-9, -12)

B
(0, -5)

C
(-6, -3)

D
(0, -15)

E
(-3, 6)

Answer 1

no clue man sorry but I need the points to get more answers

Answer 2

Since this line has a slope of 3 and contains the point (-5, 0), the points that are on the same line are:

A. (-9, -12)

C. (-6, -3)

E. (-3, 6)

In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

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

By substituting the given data points (-5, 0) and (-9, -12) into the formula for the slope of a line, we have the following:

3 = (-12 - 0)/(-9 + 5)

3 = -12/-4

3 = 3 (True).

3 = (-5 - 0)/(0 + 5)

3 = -5/5

3 = -1 (False).

3 = (-3 - 0)/(-6 + 5)

3 = -3/-1

3 = 3 (True).

3 = (-15 - 0)/(0 + 5)

3 = -15/5

3 = -3 (False).

3 = (6 - 0)/(-3 + 5)

3 = 6/2

3 = 3 (True).