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1. Find y if the point (-6,y) is on the line that passes through (-1,7) and (3,-2).

 

2.A line has a slope of \(-\frac{3}{7}\) and its y-intercept is (0,18) . What is its x-intercept?

 Jul 28, 2020
 #1
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1. Find y if the point (-6,y) is on the line that passes through (-1,7) and (3,-2).

 

|-1| + 3 = 4            7 + |-2| = 9

 

4 and 9 are the legs of a right triangle ABC

 

Let angle BAC be β           β = arctan(9/4) = 66.03751103º

 

|-6| + 3 = 9         ( this is a short leg of triangle ADE )

 

DE = AD * tan( β ) = 20.25

 

y = 20.25 - 2 = 18.25

 Jul 28, 2020

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