SOLUTION: use the slope-intercept method to find the equation of the line through the points (-2,3) and (4,7)

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Question 54114: use the slope-intercept method to find the equation of the line through the points (-2,3) and (4,7)
Found 2 solutions by funmath, checkley71:
Answer by funmath(2925) About Me  (Show Source):
You can put this solution on YOUR website!
Use the slope (m) formula to find the slope between (x1,y1)=(-2,3) and (x2,y2)=(4,7)
The slope formula is highlight%28m=%28y2-y1%29%2F%28x2-x1%29%29
m=%287-3%29%2F%284-%28-2%29%29
m=4%2F6 reduce and:
m=2/3
Use (x,y)=(-2,3). Plug into the slope intercept form {{highlight(y=mx+b)}}} and solve for b.
3=%282%2F3%29%28-2%29%2Bb
3=-4%2F3%2Bb
3%2B4%2F3=4%2F3-4%2F3%2Bb
%283%2A3%29%2F%283%2A1%29%2B4%2F3=b
9%2F3%2B4%2F3=b
%289%2B4%29%2F3=b
13%2F3=b
Now you have m=2/3 and b=13/3, plug them into y=mx+b and you have the equation of the line:
highlight%28y=%282%2F3%29x%2B13%2F3%29
Happy Calculating!!!

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
(7-3)/(4+2)=4/6 or 2/3 for the slope & 3=2/3(-2)+b 3=-4/3+b or b=3+4/3 or
b=13/3 thus the formula is y=2/3x+13/3