Question

Identify the equation of a line that contains the point $(1,6)$ and has a $y$-intercept of $4$.

• A. $y=\frac{1}{2}x+4$
• B. $y=x+4$
• C. $y=2x+4$
• D. $y=4x+2$

Answer 1

The correct option is C $y=2x+4$

As per given line goes to point $(1,6)$ and $y$ intercept of 4 the point $(0,4)$

Then the slope of line point $(1,6)$ and $(0,4)=$ $\frac{4-6}{0-1}=\frac{-2}{-1}=2$

Then the line goes to point $(0,4)$ and slope $2$ is

$(y-4)=2(x-0)$

$y-4=2x$

$y=2x+4$

Then C is the write answer.