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3 years ago

Helaine graphed the equation 12x - 4y = 3. What was the slope of Helaine's line?

Mathematics

2 answers:

irina1246 [14]3 years ago

4 0

Answer: The slope of the graph is 3.

Step-by-step explanation:

The equation of a line in slope intercept for is given by :-

$y=mx+c$ , where m is the slope of the line.

The given equation of the line graphed by Helaine = $12x - 4y = 3$

Now, rewrite the above equation in slope-intercept form by adding 4y and subtracting 3 from both sides , we get

$4y=12x-3$

Divide 4 on both sides , we get

$y=3x-\dfrac{3}{4}$ which is the slope-intercept form.

$\Rightarrow\text{Slope}=3$

Hence, the slope of Helaine's line =3

harkovskaia [24]3 years ago

3 0

Answer:

The slope of this line is 3.

Step-by-step explanation:

Solve 12x - 4y = 3 for y to obtain the equation in slope-intercept form:

Add 4y to both sides, obtaining 12x = 3 + 4y

Subtract 3 from both sides: 12x - 3 = 4y

Finally, divide all terms by 4: y = 3x - 3/4

The slope of this line is 3.

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Korvikt [17]

Answer:

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Step-by-step explanation:

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2 years ago

You know the slope of a line and a point on the line that is not the y-intercept. Can you use a graph to write the equation of t

Gnoma [55]

Sure you could as long as you have the point.

for example let's say the slope is 2 and the point we are given is (4,4)

we know that:
$y = mx + b$
plug in the values given
x=4
y=4
m=2

$4 = 2(4) + b$
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so:

$y = 2x - 4$
in this case

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2 years ago

Construct the graph of the direct proportion y = kx for k = -1

Sergio [31]

Answer:

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8 0

3 years ago

Find the lengths of the sides of the triangle PQR. P(2, −3, −4), Q(8, 0, 2), R(11, −6, −4) |PQ| = Incorrect: Your answer is inco

Aloiza [94]

Answer:

the length PQ is 9 units,the length QR is 9 units,the length PR is 9.48 units,the triangle is not a right triangle,this is a isosceles triangle

Step-by-step explanation:

Hello, I think I can help you with this

If you know two points, the distance between then its given by:

$P1(x_{1},y_{1},z_{1} ) \\P2(x_{2},y_{2},z_{2})\\\\d=\sqrt{(x_{2}-x_{1} )^{2} +(y_{2}-y_{1} )^{2}+(z_{2}-z_{1} )^{2} }$

Step 1

use the formula to find the length PQ

Let

P1=P=P(2, −3, −4)

P2=Q=Q(8, 0, 2)

$d=\sqrt{(8-2)^{2} +(0-(-3))^{2}+(2-(-4))^{2}} \\ d=\sqrt{(6)^{2} +(3)^{2}+(6 )^{2}}} \\d=\sqrt{36+9+36}\\d=\sqrt{81} \\d=9\\$

the length PQ is 9 units

Step 2

use the formula to find the length QR

Let

P1=Q=Q(8, 0, 2)

P2=R= R(11, −6, −4)

$d=\sqrt{(11-8)^{2} +(6-0))^{2}+(-4-2 )^{2}} \\\\\\d=\sqrt{(3)^{2} +(6)^{2}+(-6 )^{2}}} \\d=\sqrt{9+36+36}\\d=\sqrt{81} \\d=9\\$

the length QR is 9 units

Step 3

use the formula to find the length PR

Let

P1=P(2, −3, −4)

P2=R= R(11, −6, −4)

$d=\sqrt{(11-2)^{2} +(-6-(-3)))^{2}+(-4-4 )^{2}} \\\\\\d=\sqrt{(9)^{2} +(-6+3)^{2}+(-4-(-4) )^{2}}} \\d=\sqrt{81+9+0}\\d=\sqrt{90} \\d=9.48\\$

the length PR is 9.48 units

Step 4

is it a right triangle?

you can check this by using:

$side^{2} +side^{2}=hypotenuse ^{2}$

Let

side 1=side 2= 9

hypotenuse = 9.48

Put the values into the equation

$9^{2} +9^{2} =9.48^{2}\\ 81+81=90\\162=90,false$

Hence, the triangle is not a right triangle

Step 5

is it an isosceles triangle?

In geometry, an isosceles triangle is a type of triangle that has two sides of equal length.

Now side PQ=QR, so this is a isosceles triangle

Have a great day

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Answer:

Each person would get 22.8 ounces of soda.

Step-by-step explanation:

456÷20= 22.8

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2 years ago