A Line Passes Through The Points (7, 4) And (8, 6). What Is Its Equation In Slope-Intercept Form?, Write Your Answer Using Integers, Proper Fractions,

A line passes through the points (7, 4) and (8, 6). What is its equation in slope-intercept form?

Write your answer using integers, proper fractions, and improper fractions in simplest form.

 

Answer:

Step-by-step explanation:

slope intercept form : y = mx + b where m = slope and b is the y-intercept

given 2 points: (7, 4) and (8, 6)

get the slope first:

m = rise/ run = (6-4)/ (8-7) = 2

slope-intercept formula: y - y1 = m(x-x1)

y -  4 = 2(x - 7)

y - 4 = 2x -14

y = 2x -10

y = 2x + (-10)

m =2 and b = -10

or by :

y - 6 = 2(x -8)

y - 6 = 2x -16

y = 2x + (-10)