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mafiozo [28]
3 years ago
13

A table of values of a linear function is shown below.

Mathematics
1 answer:
ikadub [295]3 years ago
3 0

Given:

A table of values of a linear function.

To find:

The slope, y-intercept and equation of the function.

Solution:

Take any two points on the table.

Let the points are (-1, -3) and (0, -6).

Slope of the line:

$m=\frac{y_2-y_1}{x_2-x_1}

$m=\frac{-6-(-3)}{0-(-1)}

$m=\frac{-6+3}{0+1}

$m=\frac{-3}{1}

m = -3

Slope of the function = -3

y-intercept of the function is the point where x = 0.

In the table y = -6 when x = 0

y-intercept = -6

Equation of a line:

y = mx + c

where m is the slope and c is the y-intercept

y = -3x + (-6)

y = -3x - 6

Equation of a function is y = -3x - 6.

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liraira [26]

The equation of the given Absolute Value Function is; y = |-2x + 4|

<h3>How to interpret Linear Graphs?</h3>

We can see that the given graph is a Linear graph but since it is V-shaped, we can say that it is a graph of an absolute value function.

Now, from the graph we see that;

At x = 0, y = 4

At x = 1, y = 2

At x = 2, y = 0

At x = 3, y = -2

At x = 4, y = 0

At x = 5, y = 2

We can see that the y-intercept is at y = 4.

Slope between two consecutive points is;

(2 - 4)/(1 - 0) = -2

Equation is; y = -2x + 4

Now, this is an absolute value function and as such we will write it as;

y = |-2x + 4|

Read more about Linear Graphs at; brainly.com/question/4025726

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5 0
2 years ago
Write a pair of fractions as a pair of fractions with a common denominator using the fractions 1/2 and 1/3.
Vinvika [58]

Answer:

3/6, 2/6.

Step-by-step explanation:

The lowest common denominator of 2 and 3 is 6.

1/2 = 3/6 and 1/3 = 2/6

So this  pair of fractions is 3/6, 2/6.

4 0
3 years ago
PLEASE HELP ME!
Tatiana [17]

Answer:

TRUE

Step-by-step explanation:

2x + 0.8/y = z – 4

x = 7, y = 0.2, z = 22

2×7  + 0.8/0.2 = 22 - 4

            14 + 4 = 18

                  18 = 18

TRUE.


6 0
3 years ago
Help with this please, picture above ^
Irina18 [472]

Answer:

y = -3x -2

Step-by-step explanation:

parallel lines have same slope

line d: slope (m) = -3

y intercept (b) = -2

equation y = mx + b      y = -3x -2

8 0
3 years ago
Identify the hyperbolas (represented by equations) whose centers are at (2, 1)
weqwewe [10]
When the transverse axis is horizontal, a hyperbola centered at (h,k) has formula (x-h)^2/a^2-(y-k)^2/b^2=1. Plug in h=2, k=1, the formula is (x-2)^2/a^2-(y-1)^2/b^2=1 for some a,b. If the transverse axis is vertical, the formula is (y-h)^2/a^2-(x-k)^2/b^2=1, and (y-2)^2/a^2-(x-1)^2/b^2=1 in our case.
5 0
3 years ago
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