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.
