Question

A line goes through the points (0, – 6) and (1. – 5). What is the slope of the line? and what is the equation of the line in y=mx+b form

Answer 1

We can calculate the slope of the line using the next formula

m=slope

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

where

(0,-6)=(x1,y1)

(1,-5)=(x2,y2)

we substitute the values on the equation

`m=(-5+6)/(1-0)=(1)/(1)=1`

the slope of the line is m=1

The equation of the line

`y+6=1(x-0)`

We need to clear y in order to obtain the slope-intercept form

`y=x-6`