What is the equation in y=mx+b of the line through points (0,2) , (1,7)?

1 Answer
Jun 22, 2015

Answer:

#y=5x+2#

Explanation:

Given the points #(0,2)# and #(1,7)#
the slope is
#color(white)("XXXX")##m = (Delta y)/(Delta x) = (7-2)/(1-0) = 5#

For any point #(x,y)# (combined with #(0,2)#) on this line the slope is
#color(white)("XXXX")##m = (Delta y)/(Delta x) = (y-2)/(x-0)#

So
#color(white)("XXXX")##(y-2)/(x-0) = 5#
or
#color(white)("XXXX")##y-2 = 5x#

In slope y-intercept form (#y=mx+b#) this becomes
#color(white)("XXXX")##y=5x+2#