Question

(-3, 4) and (2, 1)
Find the slope of the line passing through the given po

Answer 1

`\boxed {\boxed {\sf m= - (3)/(5) }}`

Explanation:

Slope can be found by dividing the change in y by the change in x.

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

where (x₁, y₁) and (x₂, y₂) are the points the line passes through.

The points we are given are:

`(-3,4 ) \ and \ (2,1)`

Therefore,

`x_1=-3 \\y_1= 4 \\x_2= 2\\y_2=1`

Substitute the values into the formula.

`m=(1-4)/(2--3)`

Solve the numerator.

• 1-4= -3

`m= (-3)/(2--3)`

Solve the denominator.

• 2--3 (two negatives become a positive) = 2+3=5

`m= (-3)/(5)`

This fraction cannot be simplified further, so this is the slope.

The slope of the line is -3/5