Question

In the figure above, if line $l$ has a slope of $-2$, what is the $y$-intercept of $l$?

• A. $7$
• B. $8$
• C. $9$
• D. $10$
• E. $12$

Answer 1

The correct option is D $10$

In the figure, line is passes through $(3,4)$.

Slope of the line is $-2.$

Equation of the line having slope $m$ and $y$-intercept as $c$ is

$y=mx+c$

$\Rightarrow y=-2x+c$

It is passing through $(3,4).$So

$4=-2\times 3+c$

$\Rightarrow c=10$

$y$-intercept of the line is $c=10.$