SOLUTION: Write the slope-intercept (y=mx+b) form of: 1. Slope equals 2 and the line goes through the point (-1, 3) 2. The line goes through the points (8,5) and (9, 6) 3. The li

Algebra ->  Linear-equations -> SOLUTION: Write the slope-intercept (y=mx+b) form of: 1. Slope equals 2 and the line goes through the point (-1, 3) 2. The line goes through the points (8,5) and (9, 6) 3. The li      Log On


   

Question 1152279: Write the slope-intercept (y=mx+b) form of:
1. Slope equals 2 and the line goes through the point (-1, 3)
2. The line goes through the points (8,5) and (9, 6)
3. The line goes through the points (-1, -7) and (-8, -2)

4. The line goes through the points (1/2, 3/2) and (-1/4, 5/4)
Thank you.
Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!
Write the slope-intercept (y=mx%2Bb)form of:
1. Slope equals 2 and the line goes through the point (-1,+3)
m=2, (x=-1,y=+3)
plug it in y=mx%2Bb and solve for b
3=2%28-1%29%2Bb
3=-2%2Bb
b=3%2B2
b=5
your equation is: y=2x%2B5



2. The line goes through the points (8,5) and (9, 6)
use given points to find a slope:
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
m=%286-5%29%2F%289-8%29
m=1
so far
y=1x%2Bb.....use one point to find b
5=1%2A8%2Bb
b=5-8
b=-3

your equation is:y=x-3


3. The line goes through the points
(-1, -7) and (-8, -2)
use given points to find a slope:
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
m=%28-2-%28-7%29%29%2F%28-8-%28-1%29%29
m=%28-2%2B7%29%2F%28-8%2B1%29
m=5%2F-7
m=-5%2F7
so far
y=-%285%2F7%29x%2Bb.....use one point to find b
-7=-%285%2F7%29%28-1%29%2Bb
-7=%285%2F7%29%2Bb
-49%2F7-5%2F7=b
b=-54%2F7

your equation is: y=-%285%2F7%29x-54%2F7





4. The line goes through the points
(1%2F2, 3%2F2) and (-1%2F4, 5%2F4)
use given points to find a slope:
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
m=%285%2F4-3%2F2%29%2F%28-1%2F4-1%2F2%29
m=%285%2F4-6%2F4%29%2F%28-1%2F4-2%2F4%29
m=%28-1%2Fcross%284%29%29%2F%28-3%2F4%29
m=1%2F3
so far
y=%281%2F3%29x%2Bb.....use one point to find b
3%2F2=%281%2F3%29%281%2F2%29%2Bb
3%2F2=%281%2F6%29%2Bb
3%2F2-%281%2F6%29=b
9%2F6-%281%2F6%29=b
b=8%2F6
b=4%2F3
your equation is: y=%281%2F3%29x%2B4%2F3