Mathematics

What is the equation of the line PQ?

What is the equation of the line PQ?

  • A.
    y = x – 5
  • B.
    y = x + 3
  • C.
    y = x + 5
  • D.
    y = 2x + 3
  • E.
    y = 2x – 3
Correct Answer: Option C
Explanation

The points P(-2, 3) and Q(2, 7) are on the line.

Gradient of the line = (frac{7 – 3}{2 – (-2)})

= (frac{4}{4})

= 1

y = x + b

To find the intercept, we have

7 = 2 + b or 3 = -2 + b.

Solving for b, we get b = 5.

(therefore) The line is y = x + 5.