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ioda
3 years ago
6

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

Mathematics
1 answer:
ch4aika [34]3 years ago
3 0
<h3>Answer:</h3>

y = -4x +2

<h3>Step-by-step explanation:</h3>

The slope-intercept form of the equation for a line is conveniently found from the point-slope form. In either case, you need to know the slope. That is ...

... slope = m = (change in y)/(change in x)

For the first two points, the slope is ...

... m = (-6 -(-2))/(2 -1) = -4

Using the point-slope equation for slope m and point (h, k) written as ...

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

we can substitute m = -4 and (h, k) = (1, -2) to get ...

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

... y = -4x +2 . . . . . . . simplify

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4 years ago
Jason draws a line in the sand at the beach the line is 7/8 feet long he wants to divide the line into sections that are 1 8 fee
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The answer is 7 sections
In this type of question, you just need to divide the total length of the line that drawn by Jason with the length of sections that Jason want.

So, the calculation would be:

(7/8) / (1/8)

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4 years ago
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3 years ago
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Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y &lt;
levacccp [35]

<u>Solution-</u>

The given inequalities are,

y < 2x-7,\\\\y\geq-\frac{1}{2}x+3

<u>Part A</u>

As the former inequality is only '<' so it will be represented as dotted line, but in case of the later inequality there is '≥' so it will be represented as a solid line.

This happens because in only '<, >' the values must be either lesser or greater than y, they can't take the values of y, but in case of '≤, ≥' the values can be equal to y.

Taking origin (0, 0) and putting in the first inequality.

\Rightarrow 0< 2(0)-7\\\\\Rightarrow 0\nless -7

As the equation does not satisfy, so the shaded area will be on the other side of the origin.

Again taking origin (0, 0) and putting in the second inequality.

\Rightarrow 0\geq-\frac{1}{2}0+3\\\\\Rightarrow 0\ngeqslant 3

As the equation does not satisfy, so the shaded area will be on the other side of the origin.

The second attachment contains the feasible region.

<u>Part B</u>

In order to know whether the point (3, −7) is included in the solution area for the system or not, we must put it in both the equations, if it satisfies both then only it is within the solution area.

\Rightarrow -7< 2(3)-7,\ -7\geq-\frac{1}{2}(3)+3\\\\\Rightarrow -7

As the point (3, -7) only satisfies first inequality, but not the second inequality so this point won't be in the solution area.


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3 years ago
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1-(9-4) divided by 5 =
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Answer:

1 - \frac{(9 - 4)}{5 }  \\  = 1 -  \frac{5}{5}  \\  = 1 - 1 \\  = 0

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