Question

Which is the equation to the line passing through points (2, –7) and (5, –1)?

y = 2x – 8

y = – 2x + 9

y = 2x – 11

y = – 2x + 6

Answer 1

so lets find the gradient using the two points given.
Gradient/slope formula is
\[m=\frac{y2-y1}{x2-x1}\]
so \[m=\frac{-1--7}{5-2}=\frac{-1+7}{3}=\frac{6}{3}=2\]
using the gradient and one point given, lets use (5,-1) and the formula to find a straight line
which is
y2-y1 = m (x2-x1)
y - (-1) = 2 (x-5)
y + 1 = 2x-10
y = 2x - 10 -1
y = 2x - 11
so there we have C as the answer.

Answer 2

Alright Thank you!!!!!!! :)