74. What is the slope of the line 6x – 3y = 54 ?.

Step-by-step explanation:

- Before beginning, I'm going to show the guideline for slope-intercept form for linear equations:

· Slope-Intercept Form:

slope; the rotation of the line the line's -intercept; where the line hits the -axis.

· Both and are constant integers whose value ranges from -∞ ⇒ ∞, all real numbers.

· and are values that depend on each other's value; is how you would see them written on a number line.

- With this in mind, let's look at our current equation.

- It seems that our equation is not in a form that could easily show us what it's rotation is, slope, or where it hits the -axis, so we're going to have to rearrange our equation so that it follows the slope-intercept guideline shown above.

My first step was to move any values that are neither being multiplied nor divided by to the other side of the equation. In this case, is being added to , so by adding the reciprocal of to both sides, I can move it to the other side.

Now our equation is starting to look somewhat like the guideline for slope-intercept form; all we need to do now is get rid of the next to the by dividing.

Almost there. All that's left is simplification and we're done! goes into two times, and goes into negative eighteen times, so our final, simplified equation is:

By looking at our guideline, where is slope and is the -intercept, we can determine that:

The slope of is .

Uninterrupted Work: