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

`\Longrightarrow: \boxed{\sf{-(4)/(3) }}`

Explanation:

To find:

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

Note:

• Use the slope formula.

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

`\Longrightarrow: \sf{(y_2-y_1)/(x_2-x_1)=(RISE)/(RUN) }`

• y₂=(-20)
• y₁=0
• x₂=21
• x₁=6

`\Longrightarrow: \sf{((-20)-0)/(21-6)}`

Solve.

`\sf{(-20-0)/(21-6)=(-20)/(15)=(-20/5)/(15/5)=(-4)/(3)=\boxed{\sf{-(4)/(3)}}`

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

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