Question

What is the slope of the line passing through the following points: `(1,4), (-2,-5)`?

Answer 1

`"slope "=3`

Explanation:

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

`•color(white)(x)m=(y_2-y_1)/(x_2-x_1)`

`"let "(x_1,y_1)=(1,4)" and "(x_2,y_2)=(-2,-5)`

`rArrm=(-5-4)/(-2-1)=(-9)/(-3)=3`

Answer 2

`m=3`

Explanation:

We know that ,the slope of the line passing through `A(x_1,y_1)and B(x_2,y_2)`, is
`m=(y_2-y_1)/(x_2-x_1)`,
Here,`A(1,4)andB(-2,-5)`
`:.m=(-5-4)/(-2-1)=(-9)/(-3)=3`