Question

A line passes through the points (3,5) and (4,9), What is its equation in slope-intercept

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

Answer 1

y = 4x-7

Explanation:

slope = difference of y-values / difference of x-values

= (9-5) / (4-3)

= 4/1

select a point to use in the slope-intercept form of a line: y = mx + b where 'm' is the slope and 'b' is the y-intercept

(3,5)

5 = 4(3) + b

5 = 12 + b

-7 = b

slope is 4 and y-intercept is -7

y = 4x-7