SOLUTION: find the equation of the line that passes through the given points. Write the equation in slope-intercept form. (-2,7) and (-5,13)

Algebra ->  Linear-equations -> SOLUTION: find the equation of the line that passes through the given points. Write the equation in slope-intercept form. (-2,7) and (-5,13)      Log On


   

Question 929635: find the equation of the line that passes through the given points. Write the equation in slope-intercept form. (-2,7) and (-5,13)
Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
Find the slope using 13 for y2 and 7 for y1 , -5 for x2 and -2 for x1
+%28y2-y1%29%2F%28x2-x1%29+
+%2813-7%29%2F%28-5-%28-2%29%29+
+%2813-7%29%2F%28-5%2B2%29+
+6%2F%28-3%29+
-2
So the slope M is -2
Use y = Mx + b as a template and use -2 for M , -2 for x and 7 for y
from the point (-2,7)
7+=+%28-2%29%28-2%29+%2B+b+
7 = 4 + b
add -4 to each side
3 = b
We have slope M = -2 and b = 3 so our equation is
y = -2x + 3