Maths · Determining areas of the regions bounded by simple curves in standard forms
Draw the graph of straight line Use your graph to find the area between the line
Draw the graph of straight line \( y= \) \( -2 x+3 . \) Use your graph to find the area between the line and co-ordinate axes.
- A. 4.66 sq.units
- B. 3.25 sq.units
- C. 2.25 sq.units
- D. 5.66 sq.units
Step-by-step solution
The line y = -2x+3 intersects the x-axis when y=0 => x=1.5, and the y-axis when x=0 => y=3. The region between the line and axes forms a right triangle with legs of length 1.5 and 3. Area = (1/2)*1.5*3 = 2.25 sq.units.
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