SOLUTION: We have to plan out a city by answering these questions and graphing them. I am stumped by this question because I got stuck. it says: A street is needed to pass through (x,8) and

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Question 735225: We have to plan out a city by answering these questions and graphing them. I am stumped by this question because I got stuck. it says: A street is needed to pass through (x,8) and (5,9) and should be a parallel to Avenue B (which is -2x + 8) What is the x-value that corresponds to the y-value of 8?
Write the equation of the line in slope-intercept form.
I know what to do with the two points, but I got stuck after I subtracted 9-8 and kept the 5-x resulting in 1 over 5-x. What do I do next? thanks in advance!
Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

If lines are parallel, they have equal slopes. By inspection of the equation for Avenue B (which should have been expressed as , by the way) you can see that the slope of the line that describes Avenue B is . You correctly identified an expression for the slope of the line describing Avenue A, so you can write:

Just solve for

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it