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?
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