Question

Draw the graph of the linear equation $3x+4y=6$. At what points, the graph cuts the $x$-axis and the $y$-axis.

• A. The graph cuts the $x$-axis at $(2,0)$ and the $y$-axis $(0,\frac{3}{2})$
• B. The graph cuts the $x$-axis at $(3,0)$ and the $y$-axis $(0,\frac{1}{2})$
• C. The graph cuts the $x$-axis at $(9,0)$ and the $y$-axis $(0,\frac{5}{2})$
• D. The graph cuts the $x$-axis at $(5,0)$ and the $y$-axis $(0,\frac{7}{2})$

Answer 1

The correct option is A The graph cuts the $x$-axis at $(2,0)$ and the $y$-axis $(0,\frac{3}{2})$

In order to draw the graph of a line we need to know the intercept of the line.
The given equation of the line is $3x+4y=6$
If $x=0$, then $y=\frac{3}{2}$
If $y=0$, then $x=2$
So, the two points are $(0,\frac{3}{2}),(2,0).$