The equation in slope-intercept form of the line containing the points (3,-1) and (6, 7) is; y = ⁸/₃x - 7
We are given the coordinates of two points as;
(3,-1) and (6, 7).
Now, the formula for the equation of the line containing the two points in slope intercept form is;
(y - y1)/(x - x1) = (y2 - y1)/(x2 - x1)
Thus, we have;
(y + 1)/(x - 3) = (7 + 1)/(6 - 3)
(y + 1)/(x - 3) = = 8/3
y + 1 = (8/3)(x - 3)
y + 1 = ⁸/₃x - 8
y = ⁸/₃x - 7
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