Question

At what points does the line $\frac{x}{4}+\frac{y}{-3}=1$ cut the x-axis and y-axis?

• A. x-axis: (4,0) y-axis: $(0,-3)$
• B. x-axis: $(0,-3)$ y-axis: (4,0)
• C. x-axis: $(-3,4)$ y-axis: $(4,-3)$
• D. x-axis: (0,0) y-axis: (3,4)

Answer 1

The correct option is B x-axis: $(0,-3)$ y-axis: (4,0)

If this line cut on x-axis then x=0x=0
∴y−3=1⟹y=−3∴y−3=1⟹y=−3
∴∴ Required point on x-axis is (0,−3)(0,−3)
If this line cut on y-axis then y=0y=0
∴x4=1⟹x=4∴x4=1⟹x=4
∴∴ Required point on y-axis is (4, 0).