SOLUTION: Find the slope and the y-intercept for the line that passes trough (-11,-3) and (8,7) (the answer need to be in integers or simplified fractions)

Click here to see ALL problems on Linear-equations

Question 888208: Find the slope and the y-intercept for the line that passes trough (-11,-3) and (8,7)
(the answer need to be in integers or simplified fractions)
Found 2 solutions by richwmiller, lwsshak3:
Answer by richwmiller(17219) (Show Source):
You can put this solution on YOUR website!
m =10/19 slope
-3-7/-11-8
-10/-19
10/19
y=mx+b
7= 10/19*8+b
70/19
133/19-80/19=b
53/19=b y intercept

Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website!
Find the slope and the y-intercept for the line that passes trough (-11,-3) and (8,7)
(the answer need to be in integers or simplified fractions)
***
Standard form of equation for a line: y=mx+b, m=slope, b=y-intercept
For given problem:
slope=∆y/∆x=(7-(-3))/(8-(-11))=(7+3)/(8+11)=10/19
equation: y=(10/19)x+b=10x/19+b
solve for b using one of the given points (8,7) on the line
y=10x/19+b
7=10*8/19+b
lcd:19
133=80+19b
19b=53
b=53/19
slope=10/19
y-intercept=53/19
equation of line: y=10x/19+53/19