SOLUTION: Write an equation of the line through each pair of points in slope-intercept form. (2, 4) and (-4, -11)

Algebra ->  Linear-equations -> SOLUTION: Write an equation of the line through each pair of points in slope-intercept form. (2, 4) and (-4, -11)      Log On


   

Question 916405: Write an equation of the line through each pair of points in slope-intercept form.
(2, 4) and (-4, -11)
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
x1 y1 x2 y2
2 4 -4 -11

slope m = (y2-y1)/(x2-x1)
( -11 - 4 )/( -4 - 2 )
( -15 / -6 )
m= 2 1/ 2
The required line passes through both the points. So we select one point and plug it with the slope
Plug value of the slope and point ( 2 , 4 ) in
Y = m x + b
4.00 = 2 1/2 * 2 + b
4.00 = 5 + b
b= 4 + -5
b= -1
So the equation will be
Y = 5/2 x -1
m.ananth@hotmail.ca