What is the equation in slope-intercept form that goes through the points #(2,4)# and #(8,9)#?

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Answer 1 · 2018-04-09T22:16:12

#y=5/6x+7/3#

Slope-Intercept form: #y=mx+b#, where #m# represents the slope and #b# the y-intercept

#(y_2-y_1)/(x_2-x_1) rarr# Formula for finding slope using two points

#(9-4)/(8-2) rarr# Plug the given points in

#5/6 rarr# This is our slope

Currently, our equation is #y=5/6x+b#. We still need to find the y-intercept

Let's plug in the point (2, 4) and solve for b.

#4=5/6*2+b#

#4=5/3+b#

#b=7/3#

The equation is

#y=5/6x+7/3#