9514 1404 393
Answer:
y = 4/3x -(4 2/3)
Explanation:
The vertical difference between the two marked points is ...
2 -(-6) = 8
The horizontal difference between them is ...
5 -(-1) = 6
The slope is the ratio of these values:
m = ∆y/∆x = 8/6 = 4/3
The point-slope form of the equation of the line can be written using this slope and the upper point:
y -y1 = m(x -x1)
y - 2 = 4/3(x -5) . . . . substitute known values.
This is an equation for the line.
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This can be rearranged to slope-intercept form:
y = 4/3x -20/3 +2
y = 4/3x -14/3
y = 4/3x -(4 2/3)