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gizmo_the_mogwai [7]
2 years ago
14

In a certain urban are, the relationship between , number of students ,x, in thousands, and the number schools, y, has an x-inte

rcept of -4 and a y-intercept of 3. Write an equation for this relationship in standard form.
Mathematics
1 answer:
chubhunter [2.5K]2 years ago
6 0

Answer:

-12 = 3x - 4y

Step-by-step explanation:

Two points on the graph are (-4, 0) and (0, 3).  Moving from the first point to the second, we see x (the 'run') increase by 4 and y (the 'rise') increase by 3.  Thus, the slope of this line is m = rise / run = 3/4.

Using the point slope form, we get:

y - 3 = (3/4)(x - 0), or

4y - 12 = 3x, or

-12 = 3x - 4y (which is in Standard Form).

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What is the equation of this line?<br><br>A: y=-3/2x<br>B: y=2/3x<br>C: y=-2/3x <br>D: y=3/2x​
creativ13 [48]

Answer:

b) y = 2/3x

Step-by-step explanation:

Slope (m) formula: \frac{y_2-y_1}{x_2-x_1}

I will be using (3,2) and (-3,-2) to find the slope:

m=\frac{-2-2}{-3-3}\\m=\frac{-4}{-6} \\m = \frac{2}{3}

y = mx + b\\y = \frac{2}{3}x+b

(3,2)

y = \frac{2}{3}x+b\\\\2 = \frac{2}{3}(3)+b\\\\2 = 2+b\\-2  -2\\\\0=b

y=mx+b\\\\y = \frac{2}{3}x+0\\\\y = \frac{2}{3}x

Hope this helps!

8 0
2 years ago
The six frames show a shapes different positions. Select the description that describes how the shape moves to get from its posi
Dima020 [189]

Answer:

The correct option is;

Up, rotate 90 degrees counterclockwise, down and right, rotate 90 derees clockwise, left

Step-by-step explanation:

The motion of the shape are

1) The shape is moved up from the initial position

2) The shape is then rotated 90 degrees in the reverse direction of the motion of the clock

3) The shape then moves two motion of coming down and moving right in one step

4) The shape is then rotated 90 degrees in the clockwise direction

5) In the final step, the shape is moved left.

6 0
3 years ago
Please help me understand, ill give brainliest!
Mkey [24]

Answer:

C 58

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Not sure about this
babymother [125]

Answer:

Length of the base=10

Width of the base=50

Step-by-step explanation:

Length of the base=80/8=10

Width of the base= 6.25*8=50

5 0
3 years ago
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Please help!!!!! I need help badly
Nata [24]

Answer:

3/4

Step-by-step explanation:

54/72 simplified is the same as 3/4

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2 years ago
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