SOLUTION: (7,9) and (1,-4) Write the slope -intercept form of the equation for the line passing the given pair of points

Algebra ->  Inequalities -> SOLUTION: (7,9) and (1,-4) Write the slope -intercept form of the equation for the line passing the given pair of points       Log On


   

Question 1068590: (7,9) and (1,-4)
Write the slope -intercept form of the equation for the line passing the given pair of points
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
Two choices to use: Start from the point-slope form, or keep all steps in use as from slope-intercept form.

Keeping all in or from slope-intercept,
y=mx%2Bb
y-mx=b
b=y-mx
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m=%289-%28-4%29%29%2F%287-1%29=13%2F6
Pick a point, here using (1,-4);
b=-4-%2813%2F6%29%2A1=-4%286%2F6%29-13%2F6=%28-24-13%29%2F6=-37%2F6
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highlight%28y=%2813%2F6%29x-37%2F6%29