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3 years ago

Find the slope of the line graphed below.

Mathematics

2 answers:

Irina18 [472]3 years ago

8 0

There are two ways you could calculate slope.

The first is using two points on the line. Plug the coordinates into the formula:

y₁ - y₂ / x₁ - x₂

This is the difference in rise divided by the difference in run, or rise/run. Our marked coordinates are (-2, -3) and (0, 1).

y₁ - y₂ / x₁ - x₂

-3 - 1 / -2 - 0

-4 / -2

The second method is much faster: Look at the graph; count the amount of units the graph rises and the amount of units the graph runs, then divide the former number by the latter number (see attachment).

4 / 2 = 2

Answer:

Slope = 2

Shtirlitz [24]3 years ago

7 0

The slope of the line is 2, and it the equation for it is y=2x+1

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Olivia scored 82 points on the first mathematics test of the year. On the second mathematics test, she scored 78 points. What is

Kryger [21]

The percent of change in the number of points she scored between the first and second tests = 4.878 %

<h3>What is percentage decrease?</h3>

If the data is decreasing,

Decrease = Original Number - New Number.

Then: divide the decrease by the original number and multiply the answer by 100.

% Decrease = Decrease ÷ Original Number × 100.

Given that:

The score of first Math test = 82

The score of second Math test = 78

Changes occurs in marks by=78-82

=-4

So, there is decrease in marks.

We have to find the decrease percentage:

Decrease%= $\frac{change \;in \;value}{Original\; value} *100$

= $\frac{4}{82} *100$

= 0.04878 * 100

= 4.878 %

There is 4.88% decrease in Olivia's score.

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2 years ago

Respond using complete sentences and math language. Mike told his friend Jacky that 16 + 5 * 2 - 3 = 23. Jacky disagrees, she sa

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2 years ago

Read 2 more answers

Write a quadratic function, in standard form, that fits the set of points. Solve it as a system of three equations. (-4, 9), (0,

Tresset [83]

Answer:

$\boxed{y=2x^2+4x-7}$

Step-by-step explanation:

Let the quadratic function be

$y=ax^2+bx+c$

We substitute $(-4,9)$ into the equation to obtain;

$9=a(-4)^2+b(-4)+c$

$\Rightarrow 9=16a-4b+c---(1)$

We substitute $(0,-7)$ to obtain;

$-7=a(0)^2+b(0)^2+c$

$\Rightarrow c=-7---(2)$

We finally substitute $(1,-1)$ to obtain;

$-1=a(1)^2+b(1)^2+c$

$\Rightarrow -1=a+b+c---(3)$

We put equation (2) into equation (1) to get;

$9=16a-4b-7$

$16a-4b=16$

$\Rightarrow 4a-b=4---(4)$

$\Rightarrow -1=a+b-7$

$\Rightarrow a+b=6---(5)$

We add equation (4) and (5) to get;

$4a+a=6+4$

$\Rightarrow 5a=10$

$\Rightarrow a=2$

We put $a=2$ into equation (5) to get;

$2+b=6$

$\Rightarrow b=6-2$

$\Rightarrow b=4$

The reqiured quadratic function is

$y=2x^2+4x-7$

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2 years ago

Which of the following equations have no solution? Check all that apply.

Vinil7 [7]

Answer:

A and E

Step-by-step explanation:

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2 years ago

What is the midpoint of the segment shown below?

kolbaska11 [484]

The midpoint of the segment is (-15/2, -15/2)

<h3>How to determine the midpoint?</h3>

The complete question is in the attached image

The points are given as:

(-8, -7) and (-7, -8)

The midpoint is calculated as:

(x,y) = 1/2 * (x1 + x2, y1 + y2)

So, we have:

(x,y) = 1/2 * (-8 - 7, -7 - 8)

Evaluate the difference

(x,y) = 1/2 * (-15, -15)

Evaluate the product

(x,y) = (-15/2, -15/2)

Hence, the midpoint of the segment is (-15/2, -15/2)