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2 years ago

Find the slope of the line graphed below.

Mathematics

2 answers:

dedylja [7]2 years ago

7 0

Answer:

1/2

Step-by-step explanation:

The rise of the slope is 1

The run of the slope is 2

murzikaleks [220]2 years ago

7 0

Answer: 1/2

Step-by-step explanation: The slope is 1/2 because it goes up 1 and right 2.

Rise

------

Run

So take two points, (4,2) and (2,1), and do y2-y1/x2-x1 to get...

2-1/4-2

which equals...

1/2

So the answer is...

1/2 (One half)

Hope this helps! :)

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elect the correct answer from each drop-down menu. A system of linear equations is given by the tables. x y -5 10 -1 2 0 0 11 -2

sergeinik [125]

Answer:

First equation: y = -2x

Second equation: y = 3 - x

Solution: (1, -2)

Step-by-step explanation:

Assuming the ordered pairs of the tables are:

Table 1

(-5, 10) (-1, 2) (0, 0) (11, -22)

Table 2

(-8, -11) (-2, -5) (1, -2) (7, 4)

To create a linear equation, pick 2 ordered pairs. Calculate the slope by using the slope formula, then use the points-slope form of the linear equation to form the equation.

$\textsf{slope }m=\dfrac{\textsf{change in }y}{\textsf{change in }x}$

$\textsf{point-slope form : }y-y_1=m(x-x_1)$

Equation 1

$\textsf{slope }m=\dfrac{2-10}{-1+5}=-2$

$y-0=-2(x-0)\\\\\implies y=-2x$

Equation 2

$\textsf{slope }m=\dfrac{-5+11}{-2+8}=1$

$y+11=1(x+8)\\\\\implies y=x-3$

Solution to the System

Equate the equations and solve for x:

-2x = x - 3

⇒ 0 = 3x - 3

⇒ 3x = 3

⇒ x = 1

Substitute found value of x into one of the equations and solve for y:

y = 1 - 3 = -2

Therefore, the solution is (1, -2)

4 0

1 year ago

Complete the input output table for the function y=3^x

egoroff_w [7]

Answer:

Input of x when it is equal to (1,2,3,4,5) gave an output of 3, 9, 27,81 & 243 respectively.

Step-by-step explanation:

Step 1. Substitute for x (1,2,3,4,5) in the functions to solve for the output of y.

y=3^x

when x= 1

y=3¹ = 3

when x= 2

y=3² = 9

when x= 3

y=3³ = 27

when x= 4

y=3⁴ = 81

when x= 5

y=3 ^ 5 = 243.

Input of x when it is equal to (1,2,3,4,5) gave an output of 3, 9, 27,81 & 243 respectively.

6 0

2 years ago

What is the length of the hypotenuse of the right triangle ABC in the figure?

Lelu [443]

We need to assume that CD is perpendicular to AB.

6/5 = AB/6

AB = 36/5

AB = 7.2

5 0

2 years ago

What is the algebraic expression for the following word phrase: the sum of 8m and 3?

Aloiza [94]

8m+3

Because sum means adding so you add 8m and 3

8 0

2 years ago

13 points plus brainliest to the correct answer!

TEA [102]

The equation of a straight line is given by:

y = mx + c

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

From the given graph, the y-intercept is 1.

The slope of a straight line is given by:

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

Where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.

From the graph, (0, 1) and (14, 8) are two points on the line, thus:

$m= \frac{8-1}{14-0} = \frac{7}{14} = \frac{1}{2}$

Therefore, the equation representing the graph is $y= \frac{1}{2} x+1$

8 0

3 years ago

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