SOLUTION: Given a line containing the points (1,3), (2,4), (3,5) determine the slope-intercept form of the equation, give one additional point on this line and graph the function. a) E

Algebra ->  Linear-equations -> SOLUTION: Given a line containing the points (1,3), (2,4), (3,5) determine the slope-intercept form of the equation, give one additional point on this line and graph the function. a) E      Log On


   



Question 64876: Given a line containing the points (1,3), (2,4), (3,5) determine the slope-intercept form of the equation, give one additional point on this line and graph the function.

a) Equation of line in slope-intercept form. Show your work.
b) Give one additional point in (x,y) form that would fall on this line:
c) Graph the function:

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(1,3), (2,4), (3,5)
y+=+mx+%2B+b
%28y%5B2%5D+-+y%5B1%5D%29+%2F+%28x%5B2%5D+-+x%5B1%5D%29+=+m
Let (1,3) = (x[1] , y[1])
Let (3,5) = (x[2] , y[2])
%285+-+3%29+%2F+%283+-+1%29+=+m
m+=+2+%2F+2
m+=+1
y+=+x+%2B+b solve for b using (2,4)
4+=+2+%2B+b
b+=+2
y+=+x+%2B+2
Are all the points on this line? Check
y = 3
x = ?
y = 4
x = ?
y = 5
x = ?
Let x = 0, then y = 2
(0,2) is on the line
+graph%28+600%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+x+%2B+2%29