# SOLUTION: Find the value(s) of d so that the points (6,d) and (4,7) lie on a line that is parallel to the line 7x-8y=-80

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 Question 212071: Find the value(s) of d so that the points (6,d) and (4,7) lie on a line that is parallel to the line 7x-8y=-80Answer by HyperBrain(694)   (Show Source): You can put this solution on YOUR website!7x-8y=-80 --- We transform this line into its slope-intercept form. 7x-8y=-80 8y=7x+80 y=(7/8)x+10 --- Now, we know that the slope of this line is 7/8. The line passing through the given two points must also have a slope of 7/8 for it to be parallel to the given line. --- (6,d) and (4,7) m=(d-7)/(6-4)=(d-7)/2 (d-7)/2=7/8 4(d-7)=7 4d-28=7 4d=35 d=35/4