Question

Write an equation in point-slope form of the line that passes through the two given points. Use the point (5,1) to write the equation.

(4, 7) and (5, 1)

A. y + 1 = 6(x-5)
B. y + 1 = 6(x+5)
C. y - 1 = -6(x-5)
D. y + 1 = -6(x-5)

Answer 1

c.

Step0-by-step explanation:

you can plug both points into the equations

or you can just write it out using the point slope equation y-y₁=m(x-x₁)

plug in (5,1)

y₁=1 x₁=5

slope is difference of y/difference of x

m=(7-1)/(4-5)=-6

plug in to y-y₁=m(x-x₁) and you get

y - 1 = -6(x-5)