Question

What is the value of the Y-intercept of the function below? -12x=380-2yAnswer must be shown as an ordered pair.

Answer 1

We are given the following function

$-12x=380-2y$

Recall that the slope-intercept form is given by

$y=mx+b$

Where m is the slope and b is the y-intercept.

Let us re-write the given function into the slope-intercept form

$\begin{gathered} -12x=380-2y \\ 2y-12x=380 \\ 2y=12x+380 \\ y=\frac{12x+380}{2} \\ y=\frac{12x}{2}+\frac{380}{2} \\ y=6x+190 \end{gathered}$

So, the y-intercept is 190

Note that y-intercept is the point where the line intersects the y-axis

At this point, the x-coordinate is 0

Therefore, the y-intercept written as an ordered pair is

$(0,190)$