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Harman [31]
3 years ago
9

What is the slope-intercept form of the function described by this table?

Mathematics
1 answer:
Pavel [41]3 years ago
7 0

Answer:

y = -4x +2

Step-by-step explanation:

As x-values increase by 1, y-values decrease by 4. The slope of the line is ...

... m = (change in y)/(change in x) = -4/1 = -4

We can use the first (x, y) pair as a point to use in the point-slope form of the equation of a line. That form can be written, for slope m and point (h, k) ...

... y = m(x -h) +k

using m = -4 and (h, k) = (1, -2), we can fill in the numbers to get ...

... y = -4(x -1) -2

... y = -4x +4 -2 . . . . eliminate parentheses

... y = -4x +2 . . . . . . slope-intercept form

_____

<em>Alternate approach</em>

After you recognize that a change in x of 1 gives a change in y of -4, you can work backward one step to find the table value for y corresponding to x=0. That will be -2+4 = +2. Now, you know both the slope (-4) and the y-intercept (+2), so you can write the equation directly from this knowledge:

... y = -4x +2

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Gabriela has dinner at a cafe and the cost of her meal is \$45.00dollar sign, 45, point, 00. Because of the service, she wants t
alexgriva [62]

Answer:

$51.75

Step-by-step explanation:

Multiply 45.00 by 0.15 and you get 6.75

Once you get that add the 45.00 and the 6.75 to get 51.75 hope this helps

3 0
3 years ago
Which equation does not represent a function? Why? A) y = x2; There are two outputs for each input. B) y2 = 4x; There are two ou
natita [175]

Answer:

B) y² = 4x; There are two outputs for each input

Step-by-step explanation:

For an equation to be called a function, the input values for x must only result in a single output for y.

Based on this definition if a function, the functions y = x², y = -x and y = x are all functions because for any value of x imputed in them, we can only get one equivalent value of y.

The only exception is the function y²= 4x

For this function, for any value of x, there will be more than one output for y. Take x = 1 for example

y² = 4(1)

y² = 4

y = ±√4

y = ±2

This shows that y = 2 and -2

Also if x = 4

y² = 4(4)

y² = 16

y = ±√16

y = ±4

y = 4 and -4

No matter the value of x imputed, the output value y will always be two (a positive and a negative value)

Hence, option B is correct.

3 0
3 years ago
Write the point-slope form of the equation of the line that passes through the points (6, -9) and (7, 1). Include your work in y
lys-0071 [83]
First find the slope, 
m=(y2-y1)/(x2-x1)=(1-(-9))/(7-6)=10
Next, use the point slope form to find the equation:
L : y-y1=m(x-x1) => y-1=10(x-7) 
    [in point slope form, point is (7,1), slope=m=10 ]


5 0
3 years ago
**PLEASE HELP**
maksim [4K]

Answer:

Number 4

Step-by-step explanation:

Option B would yield more in the short term but after Option A surpasses it, it would become more profitable.

6 0
3 years ago
Please answer my question what's 6x___=92? Answer it fast
Anuta_ua [19.1K]
Just divide 92 by 6 it gives you 15.33333
5 0
3 years ago
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