SOLUTION: One of the problems on my geometry homework is "Write the equation of each line in slope-intercept form." through (-6,2) and (3,6)

Algebra ->  Coordinate-system -> SOLUTION: One of the problems on my geometry homework is "Write the equation of each line in slope-intercept form." through (-6,2) and (3,6)      Log On


   



Question 897190: One of the problems on my geometry homework is "Write the equation of each line in slope-intercept form."
through (-6,2) and (3,6)

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
y=%28%286-2%29%2F%283-%28-6%29%29%29x%2B%286-%28%286-2%29%2F%283-%28-6%29%29%293%29



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That unsimplified equation is based on the slope-intercept form, the meaning & formula for slope, and solving for the y-intercept from the slope-intercept equation form.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
One of the problems on my geometry homework is "Write the equation of each line in slope-intercept form."
through (-6,2) and (3,6)

(- 6, 2) and (3, 6)
Slope, or m = %282+-+6%29%2F%28-+6+-+3%29 or %28-+4%29%2F%28-+9%29,or 4%2F9
Point-slope form, with point = (3, 6), and m = 4%2F9 is: y+-+y%5B1%5D+=+m%28x+-+x%5B1%5D%29
y+-+6+=+%284%2F9%29%28x+-+3%29
y+-+6+=+%284%2F9%29x+-+4%2F3
y+=+%284%2F9%29x+-+4%2F3+%2B+6
y+=+%284%2F9%29x+-+4%2F3+%2B+18%2F3
y+=+%284%2F9%29x+%2B+14%2F3, or highlight_green%284x+-+9y+=+-+42%29