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Question 247107: Write the equation of the line that goes through the point (1,3) and is parallel to the line y=-3x+3/5. Write your equation in slope-intercept form.
Answer by nerdybill(7384)   (Show Source):
You can put this solution on YOUR website! Write the equation of the line that goes through the point (1,3) and is parallel to the line y=-3x+3/5. Write your equation in slope-intercept form.
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A line parallel to y=-3x+3/5 MUST have the same slope.
Since y=-3x+3/5 is in "slope-intercept" form, by inspection we see that our NEW line has a slope of -3.
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Plug -3 (slope) and the given point (1,3) into the "point-slope" form:
y - y1 = m(x-x1)
y - 3 = -3(x-1)
y - 3 = -3x+1
y = -3x+4 (this is what they're looking for)
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