A line passes through point A(14,21)

Question

A line passes through point A(14,21) A second point on the line has an x-value that is 125% of the x-value of point A and a y-value that is 75% of the y-value of point A. Use point A to write an equation of the line in point-slope form.

Answer 1

Calculate new point.

 

x₂ = 14(1.25) = 17.5

y₂ = 21(0.75) = 15.75

 

(x₂ , y₂) = (17.5, 15.75)

 

Find slope.

 

m = (5.25 / -3.5) = -1.5

 

Use slope and a point A to write point-slope form.

 

(y - 21) = -1.5(x - 14)