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Showing 1 question in Mathematics for Class 9. Tap a card to reveal the answer.
MathematicsLinear Equations in Two VariableseasyWhere does the line x + y = 5 meet the x-axis and the y-axis?
Reveal answer ↓
What it is
A straight line meets the axes at its intercepts - put y = 0 for the x-axis, x = 0 for the y-axis.
Answer
On the x-axis, y = 0, so x + 0 = 5 gives x = 5; the line meets the x-axis at (5, 0). On the y-axis, x = 0, so 0 + y = 5 gives y = 5; it meets the y-axis at (0, 5). These two intercept points are enough to draw the straight line.
Intercepts: set y = 0 for x-axis, x = 0 for y-axis
- •x-axis: put y = 0 -> (5, 0)
- •y-axis: put x = 0 -> (0, 5)
- •Two points define the straight line
Why learn this
Two intercepts are the fastest way to draw any line - used in graphs, economics and coding.
💡 Memory trick
Zero the other one: y = 0 gives the x-cut, x = 0 gives the y-cut.