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ivann1987 [24]
3 years ago
10

What is the slope of the line shown below

Mathematics
2 answers:
gizmo_the_mogwai [7]3 years ago
8 0

Answer:

A. 4

Step-by-step explanation:

1. Use the SLOPE FORMULA: M= rise/run= y2-y1/x2-x1

2. Plug in the two coordinates that were plotted on the equation: (1,1) & (3,9)

3. Label the coordinates

( 1 , 1 ) = ( x1, y1 )& ( 3, 9 ) = ( x2, y2 )

4. SOLVE & PLUG IN

m = 9 - 1 / 3 - 1 = 8 / 2

5. Simplify 8/2 (Divide by 2)

6. answer: 4/1 = 4

Elan Coil [88]3 years ago
3 0

Answer:

A. 4

slope \: (m) =  \frac{8}{2}  = 4

Step-by-step explanation:

Find the slope using the graph

It's an increasing linear function

equation: y= 4x-3

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Question 11

The directrix is a horizontal line, which means the parabola opens either upward or downward. In this case, it opens downward. This is because all answer choices have a negative leading coefficient. Also, it's because the focus is below the directrix.

For vertically opening parabolas, we use this form

4p(y-k) = (x-h)^2

where (h,k) is the vertex and p is the focal distance, aka the distance from the vertex the focus. To find (h,k), we start at the focus (0,-4) and move directly up until we reach the directrix y = 4. We'll arrive at (0,4). The midpoint of (0,-4) and (0,4) is (0,0) which is the vertex's location. So (h,k) = (0,0).

Note that in moving from (0,-4) to (0,4) is a span of 4 units. So this is the value of p.

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<h3>Answer:  Choice D.  y = -(1/16)x^2</h3>

===============================================

Question 3

The given equation is in the form y = ax^2+bx+c

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Let's compute the x coordinate of the vertex h

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h = -4/(2*2)

h = -1

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f(x) = 2x^2+4x+3

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f(-1) = 1

We find that h = -1 and k = 1 pair up together. In short, (h,k) = (-1,1) is the vertex.

<h3>Answer: Choice B.  (-1,1)</h3>
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