All categories

3 years ago

What is the slope line perpendicular to the equation 4x+3y=9

Mathematics

1 answer:

aleksandrvk [35]3 years ago

7 0

Answer:

m=3/4

Step-by-step explanation:

first, let's put the line 4x+3y=9 from standard form (ax+by=c) into slope-intercept form (y=mx+b)

we have the equation 4x+3y=9

subtract 4x from both sides

3y=-4x+9

divide by 3

y=-4/3x+3

perpendicular lines have slopes that are negative and reciprocal. If the slopes are multiplied together, the result is -1

so to find the slope of the line perpendicular to the line y=-4/3x+3, we can take the slope of y=-4/3x+3 (-4/3) multiply it by a variable (this is our unknown value), and have that set to -1

(m is the slope value)

-4/3m=-1

multiply by -3/4

m=3/4

therefore the slope of the perpendicular line is 3/4

hope this helps!! :)

You might be interested in

Let x = 4.<br><br><br><br> What is the value of y in the equation y = 15 + 11 + x?

marishachu [46]

Okay so you have to add up 15 and 11 and 4 so your answer is y=30

5 0

3 years ago

NEED HELP ASAP!! WILL MARK BRAINLIEST IF YOU ANSWER RIGHT!!

kakasveta [241]

Answer:

Step-by-step explanation: Trust

6 0

4 years ago

Need help idk how to slove this

Gemiola [76]

Hi!

I'm not sure how to slove this, but I do know how to solve it ;D

<h3>We can't know the exact value of y, but we can isolate y on one side. First, multiply by z on both sides. </h3>

$\frac{x+y}{z*z}=3*z$

x + y = 3 * z

<h3>Now subtract x from both sides.</h3>

x - x + y = 3 * z - x

<h2>The answer is y = 3 * z - x</h2>

Hope this helps! :)

-Peredhel

8 0

3 years ago

Read 2 more answers

What is the solution to the system of equations?<br> O (-4,1)<br> O (-2, 1)<br> O (1.4)<br> O (1,-2)

Tcecarenko [31]

Answer:

Step-by-step explanation:

Given

The attached graph

Required

Determine the solution

The solution here is the intersection points of the two lines. From the attachment, both lines meet

$x = 1$

$y = -2$

<em>Hence, the solution is: </em> $(1,-2)$ <em></em>

3 0

3 years ago

1,2,4,7,11,16,22, ___,____<br> What is the rule?

Paha777 [63]

Find rates of change until you find a constant.

dy/dx=1,2,3,4,5,6

d2y/dx2=1,1,1,1,1

So the acceleration, d2y/d2x, is constant. This means that this is a quadratic sequence of the form a(n)=an^2+bn+c. So we can set up a system of equations to solve for the values of a,b, and c. Using the first three points, (1,1), (2,2), and (3,4) we have:

9a+3b+c=4, 4a+2b+c=2, and a+b+c=1 getting the differences...

5a+b=2 and 3a+b=1 and getting this difference...

2a=1, so a=1/2 making 5a+b=2 become:

2.5+b=2, so b=-1/2, making a+b+c=1 become:

1/2-1/2+c=1, so c=1 so the rule is:

a(n)=0.5x^2-0.5x+1 or if you prefer to not have decimals

a(n)=(x^2-x+2)/2

6 0

3 years ago

Read 2 more answers