SOLUTION: Find the equation, in slope-intercept form, of the line that passes through the points (5,6) and (-7,3)

Algebra ->  Linear-equations -> SOLUTION: Find the equation, in slope-intercept form, of the line that passes through the points (5,6) and (-7,3)      Log On


   

Question 117979: Find the equation, in slope-intercept form, of the line that passes through the
points (5,6) and (-7,3)
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
FIRST WE FIND THE SLOPE:
(3-6)/(-7-5)=-3/-12=1/4
NOW REPLACE THE X & Y TERMS BY ONE SET OF POINTS ALONG WITH THE SLPE & SOLVE FOR THE Y INTERCEPT(b).
6=1/4*5+b
6=5/4+b
b=6-5/4
b=(24-5)/4
b=19/4 THE Y INTERCEPT.
THUS WE HAVE THE LINE EQUATION:
Y=X/4+19/4
+graph%28+300%2C+200%2C+-20%2C+5%2C+-10%2C+10%2C+y+=+x%2F4+%2B19%2F4%29+ (graph 300x200 pixels, x from -20 to 5, y from -10 to 10, y = x/4 +19/4).