SOLUTION: m=4, (-3,0) m=3, (2,-2) m=-3, (1/2,2) m= -2, (3, 1/3) Can you find and equation of the line that has the given slope and passes through the given point?

Algebra ->  Linear-equations -> SOLUTION: m=4, (-3,0) m=3, (2,-2) m=-3, (1/2,2) m= -2, (3, 1/3) Can you find and equation of the line that has the given slope and passes through the given point?       Log On


   

Question 178723: m=4, (-3,0) m=3, (2,-2)
m=-3, (1/2,2)
m= -2, (3, 1/3)
Can you find and equation of the line that has the given slope and passes through the given point?
Found 2 solutions by Fombitz, jojo14344:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the point-slope form of the line.
y-y%5Bp%5D=m%28x-x%5Bp%5D%29
I'll do one and leave the rest to you.
.
.
.
m=4
(-3,0)
y-y%5Bp%5D=m%28x-x%5Bp%5D%29
y-0=4%28x-%28-3%29%29
y=4%28x%2B3%29
y=4x%2B12
.
.
.
Here's a graph to verify the equation.

.
.
.
Repost a question if you get stuck.

Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

Working Eqn, Slope-ntercept Form, y=mx%2Bb
m=4, (-3,0)
0=4%28-3%29%2Bb
b=12
It follows---->highlight%28y=4x%2B12%29

m=3, (2,-2)
-2=3%282%29%2Bb
b=-2-6=-8
It follows----->highlight%28y=3x-8%29

m=-3, (1/2,2)
2=-3%281%2F2%29%2Bb
b=2%2B%283%2F2%29=%284%2B3%29%2F2=7%2F2
It follows------>highlight%28y=-3x%2B%287%2F2%29%29

m= -2, (3, 1/3)
1%2F3=%28-2%29%283%29%2Bb
b=1%2F3%2B6=%281%2B18%29%2F3=19%2F3
It follows------>highlight%28y=-2x%2B%2819%2F3%29%29

Thank you,
Jojo