SOLUTION: How can I Find the slope of the line passing through the points (–2, 1) and (3, 9). and show in a graph? thank you in advance for your help
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Question 90378: How can I Find the slope of the line passing through the points (–2, 1) and (3, 9). and show in a graph? thank you in advance for your help Answer by checkley75(3666) (Show Source):
You can put this solution on YOUR website! THE SLOPE IS FOUND BY (Y2-Y1)/(X2-X1). THUS:
(9-1)/(3+5)=8/8=1 WHICH IS THE SLOPE OF THE LINE PASSING THROUGH THESE 2 POINTS.
1=1*-2+b
1=-2+b
b=1+2
b=3
thus we have the line equation of: y=x+3
now we need to find the y intercept by substituting one set of point x & y values into the line formula [Y=mX+b] and solve for b which isthe y intercept:
GRAPH FOLLOWS: (graph 300x200 pixels, x from -10 to 10, y from -10 to 10, y = x +3).