Question

Find the equation of a line with the given points. (Put your answers in the form y = mx + b.)

(6, 2)

(5, 5) Find the equation of a line with the given points. (Put your answers in the form y = mx + b.)

(6, 2)

(5, 5) @Mathematics

Answer 1

m in the equation is the slope of your line. To find the slope, you subtract the y components and divide this by the subtracted x components.

\[(6-5)/(2-5) = (1/-3) = -1/3\]

so your slope is -1/3

b is your y intercept

Answer 2

first find your slope, which is (y2-y1)/(x2-x1) or (5-2)/(5-6) or -3

this leaves you with the formula y = -3x + b.

Plug in one of your known (x,y) and solve for b.

2 = -3(6) + b
2 = -18 + b
b = 20

so, now you have your formula. y = -3x + 20