SOLUTION: Help, Help, Help, I'm not understanding the problem. will you please help me figure it out. given order pairs (points) of (-4, -2) and (-1, -5), develop an equation in the slop

Algebra ->  Linear-equations -> SOLUTION: Help, Help, Help, I'm not understanding the problem. will you please help me figure it out. given order pairs (points) of (-4, -2) and (-1, -5), develop an equation in the slop      Log On


   

Question 203892: Help, Help, Help, I'm not understanding the problem. will you please help me figure it out.
given order pairs (points) of (-4, -2) and (-1, -5), develop an equation in the slope intercept format.
Found 2 solutions by vleith, scott8148:
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: FIND EQUATION of straight line given 2 points
hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (-4, -2) and (x2, y2) = (-1, -5).
Slope a is a+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29+=+%28-5--2%29%2F%28-1--4%29+=+-1.
Intercept is found from equation a%2Ax%5B1%5D%2Bb+=+y%5B1%5D, or -1%2A-4+%2Bb+=+-6. From that,
intercept b is b=y%5B1%5D-a%2Ax%5B1%5D, or b=-2--1%2A-4+=+-6.

y=(-1)x + (-6)

Your graph:

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
use the slope equation to find the slope of the line between the points

m = (Y2 - Y1) / (X2 - X1) = (-5 - -2) / (-1 - -4) = (-3) / (3) = -1

write the point-slope equation for the line ___ y - -2 = -1 (x - -4)

converting to slope-intercept ___ y + 2 = -x - 4 ___ y = -x - 6