Question

What is an equation in point-slope form for the line that passes through the points (4,-1) and (-3, 4)?

y – 4 = -5/7(x + 3)
y+ 4 = -5/7(x + 3)
y+4 = 5/7(x + 3)
y – 3 = -5/7(x + 4)

Answer 1

I will choose the first option

Explanation:

`gradient(m) = (y2 - y1)/(x2 - x1) \\ \\ taking \: x1 = - 3 \\ x2 = 4 \\ y1 = 4 \\ y2 = - 1 \\ \\ m = ( - 1 - 4)/(4 - - 3) \\ m = ( - 5)/(7) \\ \\ y - y1 = m(x - x1) \\ y - 4 = ( - 5)/(7) (x - -3) \\ \\ y - 4 = ( - 5)/(7) (x + 3)`

Answer 2

Answer: the 1st one is the correct answer.

Explanation: