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Naddika [18.5K]
3 years ago
5

Suzie drew the line of best fit on the scatter plot shown.

Mathematics
1 answer:
Sergeu [11.5K]3 years ago
6 0
Hey there!

Slope intercept form is defined as:

y = mx +b

In this form for lines, m is the slope, and b is the y intercept. Hence, slope intercept. That means that in order to write it in this form, we need to know both the slope and y intercept. We'll start with the former.

Slope is defined as ride over run, or up over right (you know it's negative when it goes left). In order to calculate this, we can take two points that lie directly on a coordinate and put them into a fraction as rise/run.

We have;

(0,3) and (5,9)

As we can see, the difference between the two points is that (5,9) is 5 more to the right, and is 6 higher.  We get 6/5. We can even see that in the coordinates, because they're written as (x, y). Additionally, you can use the slope given two points formula:

y2-y1/x2-x1 =

9-3/5-0 = 6/5

Notice how we get the same thing, because in both methods you're finding the difference between the two coordinates based off of rise/run. That's why it's y2 minus y1.


Now that we have our slope, we need the y intercept. The y intercept is simply where the line crosses the y axis. As we can see, it crosses at (0,3) - so the intercept is 3. Now we can create our equation

Slope = 6/5
Y intercept = 3

y = mx + b  --> y = 6/5x + 3

Your answer is A, the first option.

Hope this helps!

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The triangle is like two right triangles put together.

To find out the height of the triangle, we remove the other right triangle and we use the other triangle to find the height using the Pythagorean theorem.

Phytagoras Theorem :

b² = c² - a²

x² = 8² - (6÷2)²

x² = 64 - 3²

x² = 64 - 9

x² = 55

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So, the value of x is √55 (B)

<em>Hope </em><em>it </em><em>helpful </em><em>and </em><em>useful </em><em>:</em><em>)</em>

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6 0
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A teacher has a total of 7/9 bucket of water to pour into pots with flowers that are standing in equal quantities on two windows
AleksAgata [21]

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3 0
2 years ago
Find the value of x given the diagram below
Pie

The value of x is 44°.

Step-by-step explanation:

Step 1:

The sum of the angles in a triangle is equal to 180°.

The sum of the angles along a straight line is 180°.

The two given angles of the triangle are 14° and 30°.

Assume the third angle is a.

The sum of 14°, 30° and a is 180°.

14+30+a=180.

a = 180-44 = 136.

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Step 2:

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So x measures 44°.

3 0
3 years ago
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