SOLUTION: Write the equation of the line that includes each pair of points or matches each description... (5,2) (-3,-4)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Write the equation of the line that includes each pair of points or matches each description... (5,2) (-3,-4)      Log On


   

Question 394299: Write the equation of the line that includes each pair of points or matches each description... (5,2) (-3,-4)
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Using the point-slope formula, m+=%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29 to find slope

(5 , 2) 

(-3,-4) m = 2-(-4) / 5-(-3) = 6/8 = 3/4

Using the standard slope-intercept form for an equation of a line y = mx + b

  where m is the slope and b the y-intercept.  

y = (3/4)x + b   |using ordered pair Pt(5,2) to solve for b

2 = 15/4 + b

-7/4 = 6

y = (3/4)x -7/4   |y-intercept is Pt(0,-7/4)