Question

Find the gradient of the straight line joining A(-4, -1) to B(4, 2)​

Answer 1

The slope of the line is
`(3)/(8)`

Explanation:

Given parameters:

A(-4, -1) to B(4, 2)​

Unknown:

The slope of the line joining the two points

Solution:

To find the slope of the line; we use the expression below:

Slope =
`(y_(2) - y_(1) )/(x_(2) -x_(1) )`

x₁ = -4

y₁ = -1

x₂ = 4

y₂ = 2

Input the parameters and solve;

Slope =
`(2 -(-1))/(4-(-4))`

Slope =
`(3)/(8)`

The slope of the line is
`(3)/(8)`