SOLUTION: Hello , could you please help with this question. I have searched to see if this has been answered with these particular numbers and I do not see one. How do I find the equati

Algebra ->  Linear-equations -> SOLUTION: Hello , could you please help with this question. I have searched to see if this has been answered with these particular numbers and I do not see one. How do I find the equati      Log On


   

Question 433729: Hello , could you please help with this question. I have searched to see if this has been answered with these particular numbers and I do not see one.
How do I find the equation in slope-intercept form passing through the points (2,5) and (7,-3).
Could you show me the formula and how it is solved? Thank you.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
find the equation in slope-intercept form passing through the points (2,5) and (7,-3).
:
Find the slope using the slope formula: m = %28y2-y1%29%2F%28x2-x1%29
Assign the coordinates as follows:
x1=2; y1=5
x2=7; y2=-3
:
m = %28-3-5%29%2F%287-2%29 = -8%2F5 is the slope
:
Use the point/slope formula to find the equation: y - y1 = m(x - x1)
y - 5 = -8%2F5(x - 2)
y - 5 = -8%2F5x - 2(-8%2F5)
y - 5 = -8%2F5x + 16%2F5
y = -8%2F5x + 16%2F5 + 5
y = -8%2F5x + 16%2F5 + 25%2F5
y = -8%2F5x + 41%2F5 is the point/intercept equation
:
:
You can prove this to yourself, replace x with 2, see if y = 5
Do the same with x=7, does y = -3?