SOLUTION: For the straight line defined by the points (1, 53) and (3, 87), determine the slope and y-intercept.do not round off the answer.

Algebra ->  Linear-equations -> SOLUTION: For the straight line defined by the points (1, 53) and (3, 87), determine the slope and y-intercept.do not round off the answer.      Log On


   

Question 536858: For the straight line defined by the points (1, 53) and (3, 87), determine the slope and y-intercept.do not round off the answer.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Slope = ( change in y ) / ( change in x )
( 1, 53 ) and ( 3, 87 )
Slope = +%28+87+-+53+%29+%2F+%28+3+-+1+%29+
Slope = +34+%2F+2+
Slope = +17+
If the straight line is in this form:
+y+=+m%2Ax+%2B+b+, m is the slope,
and b is the y-intercept
So far I have
+y+=+17x+%2B+b+
Substitute one of th points for x and y
+53+=+17%2A1+%2B+b+
+b+=+53+-+17+
+b+=+36+
The y-intercept is +y+=+36+
Here's a plot:
+graph%28+400%2C+400%2C+-10%2C+10%2C+-10%2C+10%2C+17x+%2B+36%29+