Question

What is the slope of the line passing through the following points: #(3, 5) ,(-4, 1) #?

Answer 1

Slope = `4/7`

Explanation:

Slope Formula = `(y_2 - y_1)/(x_2 - x_1)`
1st Point is `(3, 5)`
2nd Point is `(-4, 1)`

Slope = `(1 - 5)/(-4 - 3) = -4/-7 = 4/7`

Answer 2

`"slope "=4/7`

Explanation:

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

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

`"let "(x_1,y_1)=(3,5)" and "(x_2,y_2)=(-4,1)`

`rArrm=(1-5)/(-4-3)=(-4)/(-7)=4/7`