Graph of a line segment with endpoints at (-4, -6) and (8, 4).

Question

SnapAndSolve AI · Accepted Answer

The graph shows a line segment with endpoints at (-4, -6) and (8, 4). The slope of the line can be calculated using the formula:

Slope (m) = (y2 - y1) / (x2 - x1)

Substituting the given points:

m = (4 - (-6)) / (8 - (-4)) = 10 / 12 = 5 / 6

The equation of the line in slope-intercept form (y = mx + b) can be found by using one of the points, say (-4, -6):

-6 = (5/6)(-4) + b

-6 = -20/6 + b

-6 = -10/3 + b

b = -6 + 10/3

b = -18/3 + 10/3

b = -8/3

Thus, the equation of the line is:

y = (5/6)x - 8/3

Answer