Question

$y=2x+3$
Which of the following statements is true about the given line?

• A. The line passes through $(0,3)$ and $m=-2$
• B. The line passes through $(3,0)$ and $m=-2$
• C. The line passes through $(0,3)$ and $m=2$
• D. The line passes through $(3,0)$ and $m=2$

Answer 1

Answer: (C)

The line passes through $(0,3)$ and $m=2$

Comparing the given equation $y=2x+3$ with $y=mx+c$, we get

Hence, $m=2$ and $c=3$.

So, options A and B are incorrect.

Option C:

Substitute $(0,3)$ in the given equation, we get

RHS: $=2\left(0\right)+3=3$

LHS: $y=3$

$LHS=RHS$, Hence option C is correct.

Option D:

Substitute $(3,0)$ in the given equation, we get

RHS: $=2\left(3\right)+3=9$

LHS: $y=0$

$LHS\ne RHS$. Hence, option D is incorrect.