Question Video: Finding the Equation of a Straight Line Mathematics

If a straight line intercepts the π‘₯-axis at (6, 0) and intercepts the 𝑦-axis at (0, 5), write the equation of the straight line in two-intercept form.

00:59

Video Transcript

If a straight line intercepts the π‘₯-axis at six, zero and intercepts the 𝑦-axis at zero, five, write the equation of the straight line in two-intercept form.

Let’s recall first the two-intercept form of the equation of a straight line. The two-intercept form of the equation of the straight line that intercepts the π‘₯-axis at π‘Ž, zero and intercepts the 𝑦-axis at zero, 𝑏 is π‘₯ over π‘Ž plus 𝑦 over 𝑏 equals one. We’re told that this line intercepts the π‘₯-axis at six, zero, so the value of π‘Ž is six. We’re also told that the line intercepts the 𝑦-axis at zero, five, so the value of 𝑏 is five. Substituting π‘Ž equals six and 𝑏 equals five into the two-intercept form of the equation of a straight line gives our answer. π‘₯ over six plus 𝑦 over five is equal to one.

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