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Which line is parallel to the line<br> shown below?

Travka [436]

<h3>Answer: Choice D</h3>

4x - 3y = 15

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Explanation:

The two points (-1,-1) and (2,3) are marked on the line

Let's find the slope of the line through those two points.

$(x_1,y_1) = (-1,-1) \text{ and } (x_2,y_2) = (2,3)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{3 - (-1)}{2 - (-1)}\\\\m = \frac{3 + 1}{2 + 1}\\\\m = \frac{4}{3}\\\\$

The slope is 4/3 meaning we go up 4 and to the right 3.

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Parallel lines have equal slopes, but different y intercepts. We'll need to see which of the four answer choices have a slope of 4/3.

Solve the equation in choice A for y. The goal is to get it into y = mx+b form so we can determine the slope m.

$3x + 4y = -4\\\\4y = -3x-4\\\\y = -\frac{3}{4}x-\frac{4}{4}\\\\y = -\frac{3}{4}x-1$

Equation A has a slope of -3/4 and not 4/3 like we want.

Therefore, this answer choice is crossed off the list.

Follow similar steps for choices B through D. I'll show the slopes of each so you can check your work.

slope of equation B is 3/4
slope of equation C is -4/3
slope of equation D is 4/3

We have a match with equation D. Therefore, the equation 4x-3y = 15 is parallel to the given line shown in the graph.

You can use graphing tools like Desmos or GeoGebra to confirm the answer.

4 0

1 year ago

Solve the following equation for m:<br> -7+ m = -15

Solnce55 [7]

M = -8

-15 minus -7 equals -8

6 0

3 years ago

How do I solve this?

iren2701 [21]

Answer:

Firstly find the area of the square and then the area of the two triangles and then plus it. That's what I think I tried

5 0

3 years ago

Order the following numbers from least to greatest.

zaharov [31]

Answer:

-5.5 $-\sqrt{20}$ $\sqrt4$ $\frac{22}{7}$ 4.5

Step-by-step explanation:

Given:

The numbers to order from least to greatest is given as:

$-5.5, 4.5, 22/7,\sqrt4,-\sqrt{20}$

In order to compare these numbers, we have to convert them in same form.

Let us simplify each number in decimal form.

$-5.5 = -5.5\\\\4.5=4.5\\\\\frac{22}{7}=3.14\\\\\sqrt4=2\\\\-\sqrt{20}=-\sqrt{5\times 2^2}=-2\sqrt5=-4.47$

So, the least number is one which has the largest value with a negative sign.

Here, -5.5 is the least number.

The next smallest number is -4.47. So, $-\sqrt{20}$

The next smallest number is 2. So, $\sqrt4$

The next smallest number is 3.14. So, $\frac{22}{7}$

The greatest number is 4.5.

Therefore, the order from the least to greatest is:

-5.5 < $-\sqrt{20}$ < $\sqrt4$ < $\frac{22}{7}$ < 4.5

8 0

3 years ago

????????????????????????????

maxonik [38]

There is a square and a triangle
the area of a square is
A = b * h
A = 2*2
A = 4

the area of the triangle is
A = (b*h)/2
A = (2 *2)/2
A = 4/2
A = 2

Now we add them up to find the total area
4 + 2 = 6
The shape has an area of 6 units^2

3 0

3 years ago

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