Question Video: Finding the 𝑥 and 𝑦 Intercepts of a Straight Line given Its Equation | Nagwa Question Video: Finding the 𝑥 and 𝑦 Intercepts of a Straight Line given Its Equation | Nagwa

Question Video: Finding the 𝑥 and 𝑦 Intercepts of a Straight Line given Its Equation Mathematics • First Year of Secondary School

Join Nagwa Classes

Attend live Mathematics sessions on Nagwa Classes to learn more about this topic from an expert teacher!

Find the coordinates of the point where (𝑥/2) + (𝑦/3) = 1 intersects the 𝑦-axis.

01:09

Video Transcript

Find the coordinates of the point where 𝑥 over two plus 𝑦 over three equals one intersects the 𝑦-axis.

We begin by noticing that our equation is written in two-intercept form. This can be defined as follows. The two-intercept form of the equation of the straight line that intercepts the 𝑥-axis at 𝑎, zero and intercepts the 𝑦-axis at zero, 𝑏 is 𝑥 over 𝑎 plus 𝑦 over 𝑏 equals one. This can be represented on the 𝑥𝑦-coordinate plane as shown.

In this question, 𝑎 is equal to two and 𝑏 is equal to three. We are interested in the point at which the graph intersects the 𝑦-axis. As this occurs at zero, 𝑏, we can conclude that the coordinates of the point where 𝑥 over two plus 𝑦 over three equals one intersects the 𝑦-axis is zero, three.

Join Nagwa Classes

Attend live sessions on Nagwa Classes to boost your learning with guidance and advice from an expert teacher!

  • Interactive Sessions
  • Chat & Messaging
  • Realistic Exam Questions

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy