14.06.2020

The table below represents a linear function. What is the slope of the graph of this function? Input x -2 -1 0 1 2
Output y -3 -1 1 3 5
a. -2
b. 1/2
c. -1/2
d. 2

. 0

Faq

Mathematics
Step-by-step answer
P Answered by PhD

Step-by-step explanation:

1. Slope = (y2-y1) / (x2-x1) = -3-0/ -1-4= -3/-5= 3/5 (d)

2.

Compare to the equation y= mx+b, where m is the slope

3y = 15x+9 divide by 3 each term

y = 15x/3 +9/3

y= 5x + 3 so slope is 5 ( a)

3.

use first the equation point- slope y-y1 =m (x-x1) and rearange it to be in slope-intercept form y=mx +b

y-y1 =m (x-x1)

y-2 = -3( x-1)

y = 2-3x+3

y= -3x +5 ( c)

4.

if the point y- intercept is at (0, 3) then the y-intercept is b=3

y= mx+b

y = 2x +3 (a)

5.

the equation point- slope y-y1 =m (x-x1), find the slope m= (y2-y1) / (x2-x1)

m= 3-12/ 1+2 = -9/3 = -3

y-1 = -3(x-3) is (a)

6.

y-intercept is at -4  ( yet the graph is off a bit -tell your teacher)

slope m = 1

so the equation is y=mx+b and here is y=x -4 (c)

7.

the slope is m= (y2-y1) / (x2-x1) si pich any two points from the table and calculate the slope

for example (0, 3) and (1, 0)

m = (3-0)/ (0-1) = 3/-1 = -3 (d)

Mathematics
Step-by-step answer
P Answered by PhD

Step-by-step explanation:

1. Slope = (y2-y1) / (x2-x1) = -3-0/ -1-4= -3/-5= 3/5 (d)

2.

Compare to the equation y= mx+b, where m is the slope

3y = 15x+9 divide by 3 each term

y = 15x/3 +9/3

y= 5x + 3 so slope is 5 ( a)

3.

use first the equation point- slope y-y1 =m (x-x1) and rearange it to be in slope-intercept form y=mx +b

y-y1 =m (x-x1)

y-2 = -3( x-1)

y = 2-3x+3

y= -3x +5 ( c)

4.

if the point y- intercept is at (0, 3) then the y-intercept is b=3

y= mx+b

y = 2x +3 (a)

5.

the equation point- slope y-y1 =m (x-x1), find the slope m= (y2-y1) / (x2-x1)

m= 3-12/ 1+2 = -9/3 = -3

y-1 = -3(x-3) is (a)

6.

y-intercept is at -4  ( yet the graph is off a bit -tell your teacher)

slope m = 1

so the equation is y=mx+b and here is y=x -4 (c)

7.

the slope is m= (y2-y1) / (x2-x1) si pich any two points from the table and calculate the slope

for example (0, 3) and (1, 0)

m = (3-0)/ (0-1) = 3/-1 = -3 (d)

Mathematics
Step-by-step answer
P Answered by PhD
2

Step-by-step explanation:

The ordered pairs are

x |  y 2  | 3 5  | 9

The slope is:

m = (y2 - y1)/(x2 - x1) m = (9 - 3)/(5 - 2)= 6/3 = 2

Answer is 2

Mathematics
Step-by-step answer
P Answered by Specialist

\displaystyle m=2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)Slope Formula: \displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

Step 1: Define

Point (6, 2)

Point (9, 8)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]:                                                            \displaystyle m=\frac{8-2}{9-6}[Fraction] Subtract:                                                                                         \displaystyle m=\frac{6}{3}[Fraction] Divide:                                                                                            \displaystyle m=2
Mathematics
Step-by-step answer
P Answered by Specialist

\displaystyle m=2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)Slope Formula: \displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

Step 1: Define

Point (6, 2)

Point (9, 8)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]:                                                            \displaystyle m=\frac{8-2}{9-6}[Fraction] Subtract:                                                                                         \displaystyle m=\frac{6}{3}[Fraction] Divide:                                                                                            \displaystyle m=2
Mathematics
Step-by-step answer
P Answered by PhD

The slope is 2

Step-by-step explanation:

Using slope formula (y2-y1)/(x2-x1):

(8-2)/(9-6)

(6)/3

2

Mathematics
Step-by-step answer
P Answered by PhD
2

Step-by-step explanation:

The ordered pairs are

x |  y 2  | 3 5  | 9

The slope is:

m = (y2 - y1)/(x2 - x1) m = (9 - 3)/(5 - 2)= 6/3 = 2

Answer is 2

Mathematics
Step-by-step answer
P Answered by PhD

The answer to your question is slope = 2

Step-by-step explanation:

Data

Point 1 = (6, 2)

Point 2 = (9, 8)

Process

1.- Write the formula to calculate the slope

       slope = m = (y2 - y1) / (x2 - x1)

2.- Identify the values of x1, y1, x2 and y2

       x1 = 6   y1 = 2   x2 = 9  y2 = 8

3.- Substitution

                    m = (8 - 2) / (9 - 6)

4.- Simplification

                    m = 6 / 3

5.- Result

                    m = 2

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