COO010 · Coordinate geometry · Classes 10–11
Intercept form
A line meeting the axes at (a, 0) and (0, b) has equation x/a + y/b = 1.
x/a + y/b = 1Intercept form
📐 Formula
x/a + y/b = 1; slope = −b/a
✏️ Worked example
Intercepts 4 and 3: x/4 + y/3 = 1, slope −3/4.
🌍 Where it is used
Quickly drawing a line from where it cuts the axes.
❓ Quick check
Intercepts of x/2 + y/5 = 1?
🏋️ Practice
EasyIntercept form with intercepts 3 and 6?
Answer: x/3 + y/6 = 1
MediumWrite 2x + 3y = 6 in intercept form.
Answer: x/3 + y/2 = 1
ChallengeArea of the triangle with the axes for x/4 + y/3 = 1?
Answer: 6