Layniebug25
Answered

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

Sagot :

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

Sarah06109

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.

  • (-4)- (0) = -4-0= -4

[tex]m= \frac{17}{-4}[/tex]

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

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