Question

What is the equation of a line that passes through (-2, 3) and (1, -6)?
A. Y=x+5
B. Y=-3x+9
C. Y=-3x-3
D. Y=-1/3x+7/3

Answer 1

Two methods:
Use slope formula to find teh slope and then a point to find b
or
plug in both points into answer choices to see what works

Answer 2

Slope formula: given points\[(x_{1},y_{1})\text{ and }(x_{2},y_{2})\]use\[m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\]

Answer 3

slope-intercept form
y = mx + b

Once you find m (slope), then plug in one of the given points for x and y to find b

Answer 4

The answer choices are in the slope-intercept format,\[y=mx+b\]So basically your answer choices are
A) m = 1
B) m =-3
C) m = -3
D) m = \(-\frac{1}{3}\)

Your next step would be to apply the Point-Slope formula (below) to calculate the complete equation.\[y-y_{1}=m(x-x_{1})\]After you isolate the \(y\) you should get the slope-intercept form.

Answer 5

Alright thank you!