Q1
The graph of a linear equation in two variables is always a:
Astraight line
Bcurve
Ccircle
Dparabola
CBSEClass 9 (CBSE)MathematicsCh 4 · Topic 2
Graph of a Linear Equation
Learning to represent a linear equation in two variables graphically.
Core concept
Although only two points are mathematically required to determine a unique line, plotting a third point as a check helps verify no calculation errors were made, since all three points should lie exactly on the same straight line if correctly calculated. The x-intercept (where the line crosses the x-axis, at y=0) and y-intercept (where it crosses the y-axis, at x=0) are often the easiest and most convenient points to calculate and plot first when graphing a linear equation.
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• The graph of any linear equation in two variables is always a straight line.
• Plot at least two solution points, then draw a straight line through them.
• A third point can be plotted as a check to verify no calculation errors.
• The x-intercept (y=0) and y-intercept (x=0) are convenient points to calculate first.