Mathematics, 21.02.2020 05:00 hgdthbgjnb5604

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

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Answer from: ozzy1146

m=2

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

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; (x,y) is how you would see them written on a number line.

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

6x-3y=54

- 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.

$6x-3y=54\\6x-3y+(-6x)=54+(-6x)$

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 -3y

, so by adding the reciprocal of

to both sides, I can move it to the other side.

$6x-3y+(-6x)=54+(-6x)\\-3y=-6x+54$

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.

$-3y=-6x+54\\\frac{-3y}{-3}=\frac{-6x+54}{-3}\\y=\frac{-6x}{-3}+\frac{54}{-3}$

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:

y=2x-18

By looking at our guideline, y=mx+b

where

is slope and

is the

-intercept, we can determine that:

The slope of 6x-3y=54 is .

Uninterrupted Work:

$6x-3y=54\\6x-3y+(-6x)=54+(-6x)\\-3y=-6x+54\\\frac{-3y}{-3}=\frac{-6x+54}{-3}\\y=\frac{-6x}{-3}+\frac{54}{-3}\\y=2x-18\\m=2$

Answer from: Quest

5/6

step-by-step explanation:

if i remember correctly with perpendicular stuff you just take away the negative

Answer from: Quest

1. isolate the variable, in this case, d. subtract 35.5 on both sides of the equation.2. 52 subtracted by 35.5 is 16.53. therefore your answer would be d= 16.5this is the basics of pre algebra, isolating variable through adding, subtracting, multiplying, and dividing, if you have any other questions to ask just comment!

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

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