Answer:
[tex]\boxed {\boxed {\sf m= - \frac{17}{{4}}}}[/tex]
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.
[tex]m= \frac{y_2-y_1}{x_2-x_1}[/tex]
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.
[tex]m= \frac{(9)- (-8)}{ (-4) -(0)}[/tex]
Solve the numerator. Remember that 2 back to back negative signs become a positive sign.
- (9)- (-8)= 9--8 = 9+8 = 17
[tex]m= \frac{17}{(-4)-(0)}}[/tex]
Solve the denominator.
[tex]m= \frac{17}{-4}[/tex]
This fraction cannot be reduced, so -17/4 is the slope.
