SOLUTION: Find the equation of the line going through the points (-6,7) and (2,2). Please show work and solution.

Question 71394: Find the equation of the line going through the points (-6,7) and (2,2).
Please show work and solution.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Find the equation of the line going through the points (-6,7) and (2,2).
Please show work and solution.
:
Assign the given coordinates as follows:
x1 = -6, y1 = 7; x2 = 2, y2 = 2
:
Use the slope formula: m = (y2 - y1)/(x2 - x1)
:
m = (2 - 7)/(2 -(-6)) = -5/8 is the slope
:
Use the point/slope formula: y - y1 = m(x - x1)
:
y - 7 = -(5/8)(x - (-6))
y - 7 = -5x/8 + (-5/8)6
y - 7 = -5x/8 - (30/8)
y = -5x/8 - (30/8) + 7
y = -5x/8 - (30/8) + (56/8)
y = -5x/8 + (26/8)
:
In decimals the equation is:
y = -.625x + 3.25
:
The graph would look like this:

:
Substitute the given values for x and confirm that they correspond to the
given values for y
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