Question

What is the slope of the line that passes through the points (1,-3) and (13,0)?

Answer 1

`"slope" =1/4`

Explanation:

To calculate the slope use the `color(blue)"gradient formula"`

`color(red)(bar(ul(|color(white)(2/2)color(black)(m=(y_2-y_1)/(x_2-x_1))color(white)(2/2)|)))`
where m represents the slope and `(x_1,y_1),(x_2,y_2)" 2 points on the line"`

The 2 points here are (1 ,-3) and (13 ,0)

let `(x_1,y_1)=(1,-3)" and " (x_2,y_2)=(13,0)`

`rArrm=(0-(-3))/(13-1)=3/12=1/4`