Question

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

Answer 1

Answer:

m=-17/4

Step-by-step explanation:

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

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

Answer 2

Answer:

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

Step-by-step explanation:

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

$m= \frac{y_2-y_1}{x_2-x_1}$

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.

$m= \frac{(9)- (-8)}{ (-4) -(0)}$

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

• (9)- (-8)= 9--8 = 9+8 = 17

$m= \frac{17}{(-4)-(0)}}$

Solve the denominator.

• (-4)- (0) = -4-0= -4

$m= \frac{17}{-4}$

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