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

Video Transcript

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

The intercepts of any function are the points at which it crosses the 𝑥- and 𝑦-axes. In this question, our straight line crosses the 𝑥-axis at two, and it crosses the 𝑦-axis at three. We can therefore conclude that the function has an 𝑥-intercept at the point two, zero. And it has a 𝑦-intercept at the point zero, three.

Whilst it is not required in this question, we could then write the equation of the line in two-intercept form. This states that 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 is equal to one. In this question, our value of 𝑎 is two and our value of 𝑏 is three. The equation of the straight line on the graph in two-intercept form is 𝑥 over two plus 𝑦 over three equals one.