Question

A line includes the points (4, 8) and (3, 5). What is its equation in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form

Answer 1

A line includes the points (4, 8) and (3, 5) whose equation in slope-intercept form will be :

`y=3x-4`

Explanation:

The point slope form:
`(x_1,y_1) and(x_2,y_2)`

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

where : m = Slope of the line

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

A line includes the points (4, 8) and (3, 5).The equation of the line will be:

`m=(5-8)/(3-4)=3`

`(y-8)=3* (x-4)`

`y-8=3x-12`

`y=3x-4`

(y=mx+c), where c is intercept at y axis.

The above equation represents slope-intercept form of the line.