SOLUTION: A line passes through (-2,4) and (3,9). Could you please show me how to write an equation for the line in slope-intercept form step-by-step?
Thank you :)
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Question 433090: A line passes through (-2,4) and (3,9). Could you please show me how to write an equation for the line in slope-intercept form step-by-step?
Thank you :)
Found 2 solutions by Alan3354, josmiceli:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Here's an example.
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Find the equation given 2 points:
Points (3,7) and (6,1)
Find m, the slope
m = diffy/diffx = (6-3)/(1-7) = 3/(-6)
m = -1/2
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Use y = mx + b and either point to find b, the y-intercept
7 = (-1/2)*3 + b
b = 8.5 or 17/2
--> y = (-1/2)x + 17/2 in slope-intercept form
x + 2y = 17 in standard form
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email via the thank you note for help, or to check your work.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
If the given points are (x1,y1) and (x2,y2), then
the formula to use is:
(y - y1) / (x - x1) = (y2 - y1) / (x2 - x1)
Applying this to your points,
(-2,4), (3,9)
Check to see if it goes through the points
(-2,4)
OK
(3,9)
OK
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