Question

Eighth grade Y 11 Write a linear equation from two points A line includes the points (4, 6) and (3, 3), What is its equation in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form у y- Submit Work it out​

Answer 1

`y = 3x - 6`

Explanation:

Given

`(x_1,y_1) = (4,6)`

`(x_2,y_2) = (3,3)`

Required

Equation in slope intercept

First, calculate the slope.

`m = (y_2 - y_1)/(x_2 - x_1)`

`m = (3-6)/(3-4)`

`m = (-3)/(-1)`

`m = 3`

The equation is:

`y = m(x - x_1) + y_1`

`y = 3(x - 4) +6`

`y = 3x - 12+6`

`y = 3x - 6`