Question Video: Determining the Equation of a Straight Line in Two-Intercept Form given Its Graph Mathematics • First Year of Secondary School

Video Transcript

Write the equation represented by the graph shown. Give your answer in the form 𝑥 over 𝑎 plus 𝑦 over 𝑏 equals one.

In this question, we are asked to write the equation of the line in two-intercept form. This is 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.

From the graph, we see that our line intercepts the 𝑥-axis at the point two, zero. It intercepts the 𝑦-axis at the point zero, three This means that our value of 𝑎 is two and the value of 𝑏 is three.

The equation of the line shown in the graph in two-intercept form is 𝑥 over two plus 𝑦 over three equals one.