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aschool2000
21.02.2020 •
Mathematics
74. What is the slope of the line 6x – 3y = 54 ?.
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Ответ:
Step-by-step explanation:
- Before beginning, I'm going to show the guideline for slope-intercept form for linear equations:
· Slope-Intercept Form:![y=mx+b](/tpl/images/0518/8836/904ac.png)
· 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.
![6x-3y=54\\6x-3y+(-6x)=54+(-6x)](/tpl/images/0518/8836/469f4.png)
My first step was to move any values that are neither being multiplied nor divided by![6x-3y+(-6x)=54+(-6x)\\-3y=-6x+54](/tpl/images/0518/8836/bd31b.png)
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![-3y=-6x+54\\\frac{-3y}{-3}=\frac{-6x+54}{-3}\\y=\frac{-6x}{-3}+\frac{54}{-3}](/tpl/images/0518/8836/e4533.png)
Almost there. All that's left is simplification and we're done!![y=2x-18](/tpl/images/0518/8836/f966c.png)
By looking at our guideline,The slope of
is
.
Uninterrupted Work:
Ответ:
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Step-by-step explanation:
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