Question

Find the line that passesthrough (2, 4) and (5,-4)

Answer 1

Line equation in slope and intercept form:

y = mx + b

slope = m = (y2 - y1)/(x2 - x1)

In this case:

m = (-4 - 4)/(5 -2) = -8/3

m = -8/3

Using the first point in the line equation we will find the value of b:

y = mx + b

b = y - mx

b = 4 - (-8/3)(2) = 4 - 16/3 = (12 - 16)/3 = -4/3

b = -4/3

Answer:

y = (-8/3)x - 4/3