SOLUTION: find the slope-intercept form of the line passing through the point (-7, 9) and parallel to the line 9x-7y=-3

Question 556258: find the slope-intercept form of the line passing through the point (-7, 9) and parallel to the line 9x-7y=-3
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
find the slope-intercept form of the line passing through the point (-7, 9) and parallel to the line 9x-7y=-3
.
First, determine slope of:
9x-7y=-3
-7y=-9x-3
7y = 9x+3
y = (9/7)x + 3/7
slope is 9/7
.
a line parallel must have the same slope.
use the slope (9/7) and the given point (-7,9)
and plug into the "point-slope" form:
y - y1 = m(x - x1)
y - 9 = (9/7)(x - (-7))
y - 9 = (9/7)(x + 7)
y - 9 = (9/7)x + 9
y = (9/7)x + 9 + 9
y = (9/7)x + 18 (this is what they're looking for -- in "slope-intercept" form)

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