Lesson Worksheet: Equation of a Straight Line: Two-Intercept Form Mathematics

In this worksheet, we will practice representing a straight line in the two-intercept form using the 𝑥- and 𝑦-intercepts.

Q1:

Which of the following represents the equation of a straight line in two-intercept form?

  • A𝑥𝑎+𝑦𝑏=1
  • B𝑎𝑥+𝑏𝑦=1
  • C𝑦=𝑚𝑥+𝑐
  • D𝑥𝑎+𝑦𝑏=𝑐
  • E𝑎𝑥+𝑏𝑦+𝑐=0

Q2:

Determine the intercepts of the function represented by the given graph.

  • A𝑥-intercept: (0,2), 𝑦-intercept: (0,3)
  • B𝑥-intercept: (0,3), 𝑦-intercept: (2,0)
  • C𝑥-intercept: (2,0), 𝑦-intercept: (3,0)
  • D𝑥-intercept: (0,2), 𝑦-intercept: (3,0)
  • E𝑥-intercept: (2,0), 𝑦-intercept: (0,3)

Q3:

Find the coordinates of the point where 𝑥2+𝑦3=1 intersects the 𝑥-axis.

  • A(0,3)
  • B(2,3)
  • C(2,0)
  • D(3,0)
  • E(0,2)

Q4:

Find the coordinates of the point where 𝑥2+𝑦3=1 intersects the 𝑦-axis.

  • A(0,3)
  • B(2,3)
  • C(0,2)
  • D(3,0)
  • E(2,0)

Q5:

List the coordinates of the 𝑥-intercept and the 𝑦-intercept of the line 𝑥3𝑦2=1.

  • A(2,0), (0,3)
  • B(3,0), (0,2)
  • C(3,0), (0,2)
  • D(3,0), (0,2)
  • E(2,0), (0,3)

Q6:

List the 𝑥-intercept and the 𝑦-intercept of the line 2𝑥3𝑦=7.

  • A0,73,72,0
  • B0,73,72,0
  • C0,72,73,0
  • D0,73,72,0
  • E0,73,72,0

Q7:

If a straight line intercepts the 𝑥-axis at (6,0) and intercepts the 𝑦-axis at (0,5), write the equation of the straight line in two-intercept form.

  • A5𝑥+6𝑦=1
  • B𝑥6+𝑦5=1
  • C5𝑥+6𝑦=30
  • D6𝑥+5𝑦=1
  • E𝑥5+𝑦6=1

Q8:

Write the equation represented by the graph shown. Give your answer in the form 𝑥𝑎+𝑦𝑏=1.

  • A𝑥3𝑦2=1
  • B𝑥3+𝑦2=1
  • C𝑥2+𝑦3=1
  • D𝑥2𝑦3=1
  • E𝑥2+𝑦3=1

Q9:

Write the equation of the line 𝑦=2𝑥+6 in the two-intercept form.

  • A𝑥3𝑦6=1
  • B𝑥3+𝑦6=1
  • C𝑥6+𝑦3=1
  • D𝑥3+𝑦6=1
  • E𝑥2+𝑦6=1

Q10:

The graph of the equation 𝑥4+𝑦12=1 is a straight line.

What are the coordinates of the 𝑥-intercept of the line?

  • A(4,0)
  • B(12,0)
  • C(0,4)
  • D(4,12)
  • E(0,12)

What are the coordinates of the 𝑦-intercept of the line?

  • A(4,12)
  • B(0,12)
  • C(4,0)
  • D(12,0)
  • E(0,4)

What is the slope of the line?

  • A4
  • B3
  • C3
  • D13
  • E13

This lesson includes 19 additional questions and 189 additional question variations for subscribers.

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