Fred H. answered 02/21/16
Tutor
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Retired ivy league engineer math and english tutor
The slope-intercept equation form is:
y=mx+b
where m is the slope and b is the y-intercept.
Therefore, for this problem, since the slope is 1/2, then
y = (1/2)x + b
The next step is to solve for b.
Since the line passes through (8,2), then the equation is satisfied for x=8 and y=2.
Plugging those values of x and y into the equation gives:
2= (1/2)(8) + b
2 = 4 + b
b = -2
Therefore, the final equation in slope-intecept form is y = (1/2)x - 2