SOLUTION: Use the given conditions to write an equation for the line in point-slope form. Passing through (3, 2) and (4, 7) y - 2 = 3(x + 3) or y - 7 = 4(x - 2) y + 2 = 5(x + 3

Algebra ->  Linear-equations -> SOLUTION: Use the given conditions to write an equation for the line in point-slope form. Passing through (3, 2) and (4, 7) y - 2 = 3(x + 3) or y - 7 = 4(x - 2) y + 2 = 5(x + 3      Log On


   

Question 1176813: Use the given conditions to write an equation for the line in point-slope form.
Passing through (3, 2) and (4, 7)

y - 2 = 3(x + 3) or y - 7 = 4(x - 2)
y + 2 = 5(x + 3) or y + 7 = 5(x + 4)
y - 2 = 5(x - 3) or y - 7 = 5(x - 4)
y - 2 = 5(x - 4) or y - 7 = 5(x - 3)
Answer by Edwin McCravy(20081) About Me  (Show Source):
You can put this solution on YOUR website!
Passing through (3, 2) and (4, 7)

We use the slope formula to find the slope:

Slope formula:
m%22%22=%22%22%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
where (x1,y1) = (3,2)
and where (x2,y2) = (4,7)

m%22%22=%22%22%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
m%22%22=%22%22%287-2%29%2F%284-3%29
m%22%22=%22%225%2F1
m%22%22=%22%225


Point-slope formula:
y - y1 = m(x - x1)
where (x1,y1) = (3,2)
and slope = m = 5

y - 2 = 5(x - 3)

If you switch (x1,y1) and (x2,y2)

you get the other form.

Edwin