Question

What is the slope of the line that passes through the points (6,0) and (21,-20)

Answer 1

slope: -4/3

slope: (y2-y1)/(x2-x1)

• where (x1, y1), (x2, y2) are coordinates

Here slope:

• (-20-0)/(21-6)

• -20/15

• -4/3

Answer 2

Answer:

$\Longrightarrow: \boxed{\sf{-\dfrac{4}{3} }}$

Step-by-step explanation:

To find:

• The slope of the line that passes through the points.

Note:

• Use the slope formula.

$\underline{\text{SLOPE FORMULA:}}$

$\Longrightarrow: \sf{\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{RISE}{RUN} }$

• y₂=(-20)
• y₁=0
• x₂=21
• x₁=6

$\Longrightarrow: \sf{\dfrac{(-20)-0}{21-6}}$

Solve.

$\sf{\dfrac{-20-0}{21-6}=\dfrac{-20}{15}=\dfrac{-20\div5}{15\div5}=\dfrac{-4}{3}=\boxed{\sf{-\dfrac{4}{3}}}$

• Therefore, the slope is -4/3, which is our answer.

I hope this helps. Let me know if you have any questions.