### Home > CCA2 > Chapter 1 > Lesson 1.2.1 > Problem1-61

1-61.

Consider the equation $4x−6y=12$. Homework Help ✎

1. Predict what the graph of this equation looks like. Justify your answer.

Are there any exponents? What does this mean?

2. Solve the equation for y and graph the equation.

Get y by itself.

$-6y=-4x+12$

$\frac{-6y}{-6}=\frac{-4x+12}{-6}$

$y=\frac{2}{3}x-2$

3. Explain clearly how to find the x- and y-intercepts.

The x-intercept is the point where $y=0$.
The y-intercept is the point where $x=0$.

4. Which form of the equation is best for finding the x- and y-intercepts quickly? Why?

It’s easier to use the given, standard form of the equation to find the intercepts quickly because there is minimal rewriting involved.

5. Find the x- and y-intercepts of $2x−3y=−18$. Then use the intercepts to sketch a graph quickly.

Set $x=0$ to find the y-intercept, and $y=0$ to find the x-intercept.

$2(0)−3y=−18$

x-intercept: (−9, 0)
y-intercept: (0, 6)