SOLUTION: I have been working on slope in class for the past week and i am totally lost, my teacher just gives me the work and expects me to understand, so I was hoping I could find help thr

Algebra ->  Linear-equations -> SOLUTION: I have been working on slope in class for the past week and i am totally lost, my teacher just gives me the work and expects me to understand, so I was hoping I could find help thr      Log On


   



Question 802184: I have been working on slope in class for the past week and i am totally lost, my teacher just gives me the work and expects me to understand, so I was hoping I could find help through you.
I have been given a slope and a point. I am expected to find the other point. My slope is -5 and my coordinates are (2,8). All i need to do is find the other point through the given information.
FORMULA:
slope= change+in+y%2Fchange+in+x=+rise%2Frun=+y%5E1-y%2Fx%5E1-x (may be confusing, sorry)
hopefully this was helpful thank you for reading and please reply!?

Answer by josgarithmetic(39614) About Me  (Show Source):
You can put this solution on YOUR website!
Knowing the slope and a point on the line, you can formulate the equation for the line.

Slope is %28vertical+change%29%2F%28horizontal+change%29.
Two points, (u,v) and (p,q) have a slope m=%28v-q%29%2F%28u-p%29.

Imagine a general point, (x,y) on a line and a known point, (u,v) on the line.
Slope would be m=%28y-v%29%2F%28x-u%29. This is equivalent to:
y-v=m%28x-u%29

You have a specific example, m=-5 and a point (2,8) on the line. The equation for this line is highlight%28y-8=-5%28x-2%29%29, corresponding exactly to the form just derived. This equation is in point-slope form. You can change into slope-intercept form: Solve for y and simplify.
y=-5%28x-2%29%2B8
y=-5x%2B10%2B8
highlight%28y=-5x%2B18%29