Question

What is the slope of the line passing through the points (2,1) and (4,7)?

Answer 1

• 
  `\Large\boxed{\sf{3}}`

Explanation:

Use the slope formula.

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

`\longrightarrow: \sf{(y_2-y_1)/(x_2-x_1)=(rise)/(run) }`

• y2=7
• y1=1
• x2=4
• x1=2

Solve.

`\Longrightarrow: \sf{(7-1)/(4-2)= (6)/(2)=\boxed{\sf{3}}`

• Therefore, the slope of the line passing through the points (2,1) and (4,7) is 3, which is the correct answer.

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