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3 years ago

What is the slope of the line x+3y=10

Mathematics

2 answers:

WARRIOR [948]3 years ago

4 0

Answer:

- 1/3x

Step-by-step explanation:

Step 1:

y = mx + b Slope Intercept Form

Step 2:

x + 3y = 10 Equation

Step 3:

3y = 10 - x Subtract x on both sides

Step 4:

y = 10/3 - 3/x Divide 3 on both sides

Step 5:

y = 10/3 - 1/3x Simplify

Answer:

Slope = - 1/3x

Hope This Helps :)

Minchanka [31]3 years ago

3 0

Answer:

m = -1/3

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Write equation

x + 3y = 10

Step 2: Convert to slope-intercept form

3y = 10 - x

y = 10/3 - x/3

We see that our slope would be the term -1/3x. Since m is the coefficient of x and our slope, our slope m = -1/3

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Nesterboy [21]

Answer:

30 mph

Step-by-step explanation:

Let d = distance (in miles)

Let t = time (in hours)

Let v = average speed driving to the airport (in mph)

⇒ v + 15 = average speed driving from the airport (in mph)

Using: distance = speed x time

$\implies t=\dfrac{d}{v}$

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$\implies t=\dfrac{18}{v} \ \ \textsf{and} \ \ t=\dfrac{18}{v+15}$

We are told that the total driving time is 1 hour, so the sum of these expressions equals 1 hour:

$\implies \dfrac{18}{v} +\dfrac{18}{v+15}=1$

Now all we have to do is solve the equation for v:

$\implies \dfrac{18(v+15)}{v(v+15)} +\dfrac{18v}{v(v+15)}=1$

$\implies \dfrac{18(v+15)+18v}{v(v+15)}=1$

$\implies 18(v+15)+18v=v(v+15)$

$\implies 18v+270+18v=v^2+15v$

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2 years ago

Read 2 more answers

What is 2+2

ad-work [718]

Answer:

Step-by-step explanation:

2+2 is 4

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3 years ago

What is the slope of the line x+3y=10 ​

What is the slope of the line x+3y=10