SOLUTION: I have a question that states: Determine the slope-intercept form of the equation of the line. The points on the graph are (0,2), (-6,-7). The answer is -3/2 isn't it?

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Question 84820: I have a question that states: Determine the slope-intercept form of the equation of the line. The points on the graph are (0,2), (-6,-7). The answer is -3/2 isn't it?
Found 2 solutions by tanimachatterjee, funmath:
Answer by tanimachatterjee(60) About Me  (Show Source):
You can put this solution on YOUR website!
straight line passes through the points (0,2) (-6,-7)
equation of the st.line is y-2 = [(-7 -2)/(-6 -0) ](x-0)
or y-2 = [(-9)/(-6)]x
or y = (9/6 )x +2
or y = 3/2 x +2
this is the required slope intercept form.

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Determine the slope-intercept form of the equation of the line. The points on the graph are (0,2), (-6,-7).
There is a couple of ways to do this. I'll show you one.
The slope-intercept form of the equation of a line is: highlight%28y=mx%2Bb%29, where m=slope and (0,b) is the y-intercept.
You have (0,b)=(0,2), but you don't have the slope, m.
You can find the slope using the slope formula: highlight%28m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29%29, where (x1,y1) and (x2,y2) are the given points.
(x1,y1)=(0,2) and (x2,y2)=(-6,-7)
m=%28-7-2%29%2F%28-6-0%29
m=-9%2F%28-6%29
m=3%2F2
Now substitute m=3/2 and (0,b)=(0,2) into y=mx+b
highlight%28y=%283%2F2%29x%2B2%29
Happy Calculating!!!!