Question

What is the slope of (0,-8) and (-4,9)​

Answer 1

m=-17/4

Explanation:

Slope is equal to m= y-y/x-x

Therefore it will be 9-(-8)/-4-0

Answer 2

`\boxed {\boxed {\sf m= - \frac{17}{{4}}}}`

Explanation:

We are asked to find the slope of (0, -8) and (-4, 9). We use the following formula to calculate slope.

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

In this formula, (x₁, y₁) and (x₂, y₂) are the points given. We have the points (0, -8) and (-4,9). If we match the given value with the corresponding variable we see that:

• x₁= 0
• y₁= -8
• x₂ = -4
• y₂= 9

Substitute the values into the formula.

`m= ((9)- (-8))/( (-4) -(0))`

Solve the numerator. Remember that 2 back to back negative signs become a positive sign.

• (9)- (-8)= 9--8 = 9+8 = 17

`m= (17)/((-4)-(0))}`

Solve the denominator.

• (-4)- (0) = -4-0= -4

`m= (17)/(-4)`

This fraction cannot be reduced, so -17/4 is the slope.