SOLUTION: Write the equation of the line in slope intercept form that passes through the points (-3,5) and (2,-5) I need the steps and final answer for this thanks :)

Algebra ->  Expressions-with-variables -> SOLUTION: Write the equation of the line in slope intercept form that passes through the points (-3,5) and (2,-5) I need the steps and final answer for this thanks :)      Log On


   

Question 153000: Write the equation of the line in slope intercept form that passes through the points (-3,5) and (2,-5)
I need the steps and final answer for this thanks :)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Write the equation of the line in slope intercept form that passes through the points (-3,5) and (2,-5)
:
Assign the given coordinates as follows:
x1 = -3; y1 = 5
x2 = 2; y2 = -5
:
Use the slope formula to find the slope (m): m = %28y2-y1%29%2F%28x2-x1%29
:
Using our values:
m = %28-5+-+5%29%2F%282+-%28-3%29%29
which is:
m = %28-5+-+5%29%2F%282+%2B+3%29 = %28-10%29%2F5%29
m = -2
:
Use the point/slope formula to find the equation: y - y1 = m(x - x1)
:
y - 5 = -2(x - (-3))
y - 5 = -2(x + 3)
y - 5 = -2x - 6
y = -2x - 6 + 5
y = -2x - 1; is the slope intercept equation
:
:
You can substitute the given values for x in the above equation
Confirm that you get the given values for y
:
How about these steps, did they make sense to you?