Question 106057: Passing through (-4,-1) and (3,4)
Found 2 solutions by MathLover1, tutorcecilia:
Answer by MathLover1(3376)   (Show Source):
You can put this solution on YOUR website!Passing through (  ,  ) and (  ,  )
means:
| Solved by pluggable solver: FIND EQUATION of straight line given 2 points |
hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (-4, -1) and (x2, y2) = (3, 4).
Slope a is  .
Intercept is found from equation  , or  . From that,
intercept b is  , or  .
y=(0.714285714285714)x + (1.85714285714286)
Your graph:
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Answer by tutorcecilia(2144)  (Show Source):
You can put this solution on YOUR website!First, find the slope of the line:
Slope = m =  =  = 
.
Next, use the slope-intercept form of a line: y=mx+b
(x, y ) = (-4, -1)
m = (5/7)
Plug-in the values:
y=mx+b
-1=(5/7)(-4)+b and solve for the b-term
-1=(-20/7)+b
-1+(20/7)=b
13/7=b
.
So,
y=(5/7)x + 13/7
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