Question 124576: Can I have some help finding an equation of the line through (0, 9) and parallel to the line passing through (1, 7) and (-6, 3)?
Answer by iluvbuilding429(41)   (Show Source):
You can put this solution on YOUR website! Can I have some help finding an equation of the line through (0, 9) and parallel to the line passing through (1, 7) and (-6, 3)?
Ok, you already know that the y-intercept is 9. Now you need to find the slope, because parallel lines always have the same slope. You do this using this formula:
So plug in the values:
Subtract:
 or
Now you know the slope,  and the y-intercept,  . Now you put these values into a slope-intercept form equation to get your answer:
y=4/7x+9
To check, insert the x and y values of the only known coordinate on this line, which is (0,9).
9=4/7(0)+9
Multiply:
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