Question

Part 1: Write the equation of the line that passes through the points (–1, –4) and (2, 5) in point-slope form.

Part 2: Using complete sentences, explain whether or not it matters which point is used in the final answer. Also explain why you chose the point you did.

Answer 1

first you need to find the slope...
slope(m) = (y2 - y1) / (x2 - x1)
(-1,-4) x1 = -1, and y1 = -4
(2,5) x2 = 2, and y2 = 5

can you find the slope by subbing in the info into the formula ?

Answer 2

Yes. @kelliegirl33

Answer 3

slope(m) = (y2 - y1) / (x2 - x1)
m = (5 - (-4) / (2-(-1)
m = (5 + 4) / (2 + 1)
m = 9/3
m = 3
Once you find the slope, you will then need to use point slope formula to find the equation.
y - y1 = m(x - x1)
use slope(m) = 3
and either of the points :
(-1,-4) x1 = -1, y1 = -4) (2,5) x1 = 2, y1 = 5
y - (-4) = 3(x - (-1) y - 5 = 3(x - 2)
y + 4 = 3(x + 1) y - 5 = 3x - 6
y + 4 = 3x + 3 y = 3x - 6 + 5
y = 3x + 3 - 4 y = 3x - 1
y = 3x - 1

As you can see, either point you use will give you the same answer.