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

Sagot :

Sarah06109idn

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

Sl33pylinkidn
slope = (-4 - 1)/(4 - -6) = -5/10 = -1/2
Answer: -1/2
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