### Home > INT1 > Chapter 6 > Lesson 6.4.2 > Problem6-135

6-135.

Consider the equation $-6x=4-2y$.

1. If you graphed this equation, what shape would the graph have? How can you tell?

If there's an $x$ and a $y$, and there are no exponents like $x^2$, what kind of graph does the equation make?
Remember that this equation could be written in $y=mx+b$ form.

2. Without changing the form of the equation, find the coordinates of three points that must be on the graph of this equation. Then graph the equation on graph paper.

Make a table and substitute values for $x$ and $y$ until you have enough points to graph the line.

3. Solve the equation for $y$. Does your answer agree with your graph? If so, how do they agree? If not, check your work to find the error.

• Solve for $y$:
$-6x-4=-2y$
$6x+4=2y$

$3x+2=y$
Yes, they both have the same starting value ($2$) and growth ($3$).