Question

Consider line AB, which contains points A(−2,7) and B(1,5).

A: What is the slope of AB?
B: What is the equation for AB in point-slope form?

Select one answer choice for question A, and select all correct answer choices for question B.

A: −23
A: 32
B: y−5=23(x−1)
B: y+7=32(x−2)
B: y+7=−23(x−2)
A: −32
B: y+5=−32(x+1)
B: y+5=23(x+1)
B: y−7=−23(x+2)
B: y−5=−23(x−1)
A: 23
B: y−7=−32(x+2)

Answer 1

-2/3 and y-5 = -2/3(x-1)

Explanation:

To write the equation of a line, calculate the slope between points (-2,7) and (1,5). After, substitute the slope and a point into the point slope form.

`m = (y_2-y_1)/(x_2-x_1) = (7-5)/(-2-1)= (2)/(-3)`

Substitute m = -2/3 and the point (1,5) into the point slope form.

`y - y_1 = m(x-x_1)\\y -5 = -(2)/(3)(x-1)`