Video Transcript
Find the coordinates of the point
where 𝑥 over two plus 𝑦 over three equals one intersects the 𝑥-axis.
We begin by noticing that our
equation is written 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. We can also represent this
graphically as shown.
In this equation, we have 𝑎 equal
to two and 𝑏 equal to three. We are asked to find the point at
which the graph intersects the 𝑥-axis, and this is equal to two, zero. The coordinates of the point where
𝑥 over two plus 𝑦 over three equals one intersects the 𝑥-axis is two, zero.
