Question

Alda graphed the linear function 3y = - 12 + 3x below. If she graphed the function correctly,

Answer 1

Answer:

The given function is

$3y=-12+3x$

There's no graph. But we can find the right one.

To graph a linear equation, we just need to find two points only, the y-intercept point and the x-intercept point.

Y-Intercept: For $x=0$, let's find $y$

$3y=-12+3x\\3y=-12+3(0)\\3y=-12\\y=-\frac{12}{3}\\ y=-4$

That means the y-intercept is at $(0,-4)$.

X-Intercept: For $y=0$, let's find $y$

$3y=-12+3x\\3(0)=-12+3x\\0=-12+3x\\12=3x\\x=\frac{12}{3}\\ x=4$

The x-intercept is at $(4,0)$

The next step is to graph both coordinates and draw line that intercept them, as the image attached shows, observe the axis interception points.

So, you must have a line like the one we show in the image.