Question

Write the equation of the line that passes through (-2.6) and (2, 14) in slope-intercept form

A. Y=2x-2
B. Y=2x+10
C. Y=0.5x+7
D.y=0.5x-4

Answer 1

y - 14 = 2(x - 2)

Explanation:

As we move from (-2, 6) to (2, 14), x increases by 4 and y increases by 8. thus, the slope of this new line is m = rise / run = 8/4 = 2.

Taking the coordinates of (2, 14) and the slope 2, we get from the point-slope formula the result:

y - 14 = 2(x - 2)

this could be rewritten as y - 14 = 2x - 4, or y = 2x + 10