Question

The equation of the line whose slope is $3$ and which cuts off an intercept $3$ from the positive $x$ axis is

• A. $y=3x–9$
• B. $y=3x+3$
• C. $y=3x+9$
• D. None of these

Answer 1

The correct option is A

$y=3x–9$

Explanation of the correct option.

Given: Slope $m=3$

Since the line cuts off an intercept $3$ from the positive $x$ axis.

So it passes through $(3,0)$.

Equation of line passing through $\left(x_1,y_1\right)$ is given by ,

$(y–y_1)=m(x–x_1)$

$\Rightarrow$ $y–0=3(x–3)$

$\Rightarrow$ $y=3x–9$

Hence Option $\left(\mathrm{A}\right)$ is the correct answer.