Question

A line having slope $-\frac{7}{4}$ is passing through the point $(4,7)$, then what is the $y$-intercept of the line?

• A. $14$
• B. $10$
• C. $5$
• D. $9$

Answer 1

Answer: (A)

$14$

Let the equation of the line be $y=mx+c$ where $c$ is the $y$ intercept and $m$ is the slope.

Now it is given that slope is $\frac{-7}{4}$.Hence $m=\frac{-7}{4}$.

Hence, $y=\frac{-7x}{4}+c$.

Substituting the point $(4,7)$ in the line gives us $7=-7+c$ or $c=14$.

Hence, the $y$ intercept is $14$.