Question

Find the $x$ intercept of a line, which passes through the point $(3,4)$ and has a slope of $2$.

• A. $-2$
• B. $-1$
• C. $0$
• D. $1$

Answer 1

The correct option is D $1$

The equation of any straight line can be written as $y=mx+c$, where $m$ is its slope and $c$ is its y - intercept.
So, the equation of this line with slope of $2$ is $y=2x+c$
As this line passes through $(3,4)$ we have $4=2\left(3\right)+c$
$=>4=6+c$
$=>c=-2$

$y=2x-2$

put y=0, we get $x-intercept=1$