All categories

2 years ago

Find the slopes of the liner functions

Mathematics

1 answer:

LuckyWell [14K]2 years ago

6 0

Answer:

The slope of the line given by the linear equation is -2

The slope of the line shown in the graph is -1

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

m is the slope

b is the y-intercept

The rule of the slope of a line is m = $\frac{y2-y1}{x2-x1}$ , where

(x1, y1) and (x2, y2) are two points lie on the line

Let us use these rules to answer the question

∵ The linear equation is y = -2x + 7

→ By comparing it with the form of the linear equation above

∴ m = -2

∵ m is the slope of the line represented by the given equation

∴ The slope of the line given by the linear equation is -2

From the given figure

∵ The line passes through points (6, 0) and (0, 6)

∴ x1 = 6 and y1 = 0

∴ x2 = 0 and y2 = 6

→ Substitute them in the rule of the slope above to find it

∵ m = $\frac{6-0}{0-6}=\frac{6}{-6}$

∴ m = -1

∵ m is the slope of the line shown in the graph

∴ The slope of the line shown in the graph is -1

You might be interested in

How many solutions are there to the equation below?<br> 6x + 33 = 6(x+6)

Ainat [17]

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

Let's solve ~

$6x + 33 = 6(x + 6)$

$6x + 33 = 6x + 36$

Here, 6x is present on both the sides of equation so they cancel out ~ therefore there is no one solution satisfying the equation ~

3 0

2 years ago

Read 2 more answers

I’ll give Brainliest!!

Gnoma [55]

Answer: 1.5

Step-by-step explanation: The difference between the 2nd And 4th is 7. Divide by 2 to get 3.5. Add 3.5 to f(2) to getf(3)
The difference between f(1) and f(2) will be 3.5 and that's 5-3.5 =1.5
F(5) is 15.5 f(6) is 19

7 0

1 year ago

I need help brosssssssssss

gavmur [86]

Answer
B. Is the answer.

5 0

2 years ago

Urgent. Will give brainliest and 20 points!!

insens350 [35]

If you begin with the basic equation of a vertical parabola: y-k=a(x-h)^2, where (h,k) is the vertex, then that equation, when the vertex is (-3,-2), is

y + 2 = a (x + 3)^2. If we solve this for y, we get

y = a(x+3)^2 - 2. Thus, eliminate answers A and D. That leaves B, since B correctly shows (x+3)^2.

8 0

2 years ago

Read 2 more answers

How to find the central angle of a regular polygon

Annette [7]

Answer:

I hope this helps

Step-by-step explanation:

Central angle of a regular polygon:

The central angle of a polygon is the angle made at the center of a polygon by any two adjacent vertices as shown in the figure below.

In the above figure, the angles a, b, c, d, e and f are the central angles of the hexagon. There are 6 central angles in a hexagon. The number of central angles in a polygon is always equal to the number of sides of the polygon.

As you can see in the figure above, all the central angles of the polygon together will always form a complete circle. Hence the central angles add up to 360° in all polygons. Since a regular polygon has all equal sides, the central angles in a regular polygon are also equal.

So to find the measure of the central angles of a regular polygon follow the steps below:

First identify the number of sides ‘n’.

Then divide 360° by n.

For example: say you need to find the central angle of a regular pentagon.

First identify the number of sides ‘n’: here n = 5

Then divide 360° by n: 360° ÷ 5 = 72°.

Conversely, you can also find the number of sides of a regular polygon, when the central angle is given, by dividing 360 by the central angle.

Note: In the case of an irregular polygon, since there is no clear center for an irregular polygon, it has no central angle.

3 0

2 years ago