The slope-intercept form of the given line be,
y = -(9/8)x + 7
Given, a line is passing from two points (0 , 7) and (8 , -2)
we have to find the slope-intercept form of the equation of the line passing from the given points.
Using the slope-intercept form, we get
(y - y1)/(x - x1) = (y1 - y2)/(x1 - x2)
(y - 7)/(x - 0) = (7 - (-2))/(0 - 8)
(y - 7)/(x - 0) = 9/-8
-8(y - 7) = 9x
-8y + 56 = 9x
9x + 8y = 56
Slope-intercept form of the equation is,
y = -(9/8)x + 7
Hence, the slope-intercept form of the given line be, y = -(9/8)x + 7
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