There are two possible answers
- y - 4 = (3/8)(x - 1)
- y - 1 = (3/8)(x + 7)
There are two answers because there are 2 points given. Both equations convert to the slope intercept form equation y = (3/8)x + 29/8
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Work Shown:
First we need the slope
m = (y2 - y1)/(x2 - x1)
m = (1-4)/(-7-1)
m = -3/(-8)
m = 3/8
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Using this slope along with the point (x1,y1) = (1,4) gets us the following equation
y - y1 = m(x - x1)
y - 4 = (3/8)(x - 1)
which is one way to express the equation in point-slope form
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Or we could easily use the other point as (x1,y1). The order of the points does not matter.
y - y1 = m(x - x1)
y - 1 = (3/8)(x - (-7))
y - 1 = (3/8)(x + 7)
is another valid answer.
