Once you write $y$ in terms of $x$ and $b$ using the given slope, plug in $x=2$ and $y=-4$ from the point $(2,-4)$ to create an equation for $b$.

After solving for $b$, write the complete equation of the line and see which answer choice is exactly the same.

In Desmos, type each option on its own line: y = -3x - 4, y = 3x + 4, y = -3x + 10, and y = 3x - 10. This will graph all four lines.

Add the point (2, -4) in Desmos (you can type (2, -4) directly). Look to see which of the four lines passes exactly through this point; that line’s equation is the correct choice.

A line in slope-intercept form looks like $y=mx+b$, where $m$ is the slope and $b$ is the $y$-intercept.

Here, the slope is given as $3$, so the equation must look like

for some value of $b$.

The line passes through $(2,-4)$, which means when $x=2$, $y=-4$.

Substitute $x=2$ and $y=-4$ into $y=3x+b$:

Now solve this equation for $b$.

From

we get

So $b=-10$, and the full equation is

which matches choice D.