find x if the following points have a slope of 2. (-3,-2) and (x,6)

Answer 1

Just to be clear points do not have a slope, but the line passing through two given points does (assuming the line is not vertical).

To find the slope of the line passing through (-3,-2) and (x, 6) use the formula for slope (change in y over change in x).

2= [6 - (-2)] / [ x - (-3)]

2 = 8/(x+3)

2x+6 = 8

2x=2

x=1

Visit this Desmos graph and use the slider on x₁ to see how the slope changes (along with the line passing through the two points).

desmos.com/calculator/eueelx7jae