Question

write the slope intercept form of the equation of the line described. then find the distance between the point and the line.
through(-5,4), perp. to y = 10/7x

Answer 1

since it's perpendicular, then the slope of the line must be -7/10 (rule of perpendicular, it must be negative reciprocal)

y = -7/10 x + b
plug in your point
4 = (-7/10)(-5) + b
4 = 7/2 + b
b = 1/2

y = (-7/10)x + 1/2