IDNLearn.com is your go-to resource for finding answers to any question you have. Get accurate and comprehensive answers from our network of experienced professionals.

3. What is the slope of the line that passes through points (-6, 1) and (4,-4)?


Sagot :

Answer:

[tex]\boxed {\boxed {\sf m= \frac {-1}{2}}}[/tex]

Step-by-step explanation:

Slope is equal to the change in y over the change in x.

[tex]m= \frac {y_2-y_1}{x_2-x_1}[/tex]

where (x₁, y₁) and (x₂, y₂) are the points the line passes through. We are given the points (-6, 1) and (4, -4). Therefore, if we match the values in the points to the corresponding variables:

  • x₁= -6
  • y₁= 1
  • x₂= 4
  • y₂= -4

Substitute the values into the formula.

[tex]m= \frac {-4-1}{4--6}[/tex]

Solve the numerator.

  • -4-1= -5

[tex]m= \frac {-5}{4--6}[/tex]

Solve the denominator.

  • 4--6= 4+6=1-

[tex]m= \frac{-5}{10}[/tex]

Simplify the fraction. Both the numerator and denominator are divisible by 5.

[tex]m= \frac {-5/5}{10/5}[/tex]

[tex]m= \frac{-1}{2}[/tex]

The slope of the line is -1/2

slope = (-4 - 1)/(4 - -6) = -5/10 = -1/2
Answer: -1/2