All categories

3 years ago

Write an equation that represents the line

Mathematics

1 answer:

Anon25 [30]3 years ago

7 0

Answer:

$\large\boxed{y=\dfrac{6}{5}x-5}$

Step-by-step explanation:

The slope0intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept → (0, b)

The formula of a slope:

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

====================================================

From the graph we have two points:

(0, -5) → b = -5

(5, 1)

Calculate the slope:

$m=\dfrac{1-(-5)}{5-0}=\dfrac{1+5}{5}=\dfrac{6}{5}$

Put the value of a slope and of an y-intercept to the equation of a line:

$y=\dfrac{6}{5}x-5$

You might be interested in

Simplify completely the quantity 3 times x to the 4th power plus 5 times x to the 2nd power plus 2 times x all over x.

Elanso [62]

Answer:

(A) $3x^3+5x+2$

Step-by-step explanation:

To Simplify: The quantity 3 times x to the 4th power plus 5 times x to the 2nd power plus 2 times x all over x.

Solution: The given statement can be easily rewritten as:

$The quantity 3 times x to the 4th power=3x^4$ ,

$5 times x to the 2nd power=5x^2$ and

$2 times x =2x$

Thus, according to the statement, the expression can be written as:

$\frac{3x^4+5x^2+2x}{x}$

⇒ $3x^3+5x+2$

which is the required simplified expression.

Thus,option A is correct.

5 0

3 years ago

I need answers too these two questions pls

Paraphin [41]

Can you show the options? so i can chooseffffndnsns

8 0

3 years ago

Read 2 more answers

PLEASE HELP ON TIMER!

worty [1.4K]

Answer: 98 degrees

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

When a graphed line is vertical, it indicates that the relation is ?

GuDViN [60]

Answer:When a vertical line is placed across the plot of this relation, it intersects the graph more than once for some values of x. If a graph shows two or more intersections with a vertical line, then an input (x-coordinate) can have more than one output (y-coordinate), and y is not a function of x.

Step-by-step explanation:

6 0

3 years ago

A group of 86 people consist of men women and children. There are twice as many women then there are men. There are 6 more child

weqwewe [10]

Answer: 16 men

32 women

38 children

Step-by-step explanation:

Let x represent the number of men in the group.

Let y represent the number if women in the group.

Let z represent the number of children in the group.

A group of 86 people consist of men women and children. This means that

x + y + z = 86 - - - - - - - - - - - - 1

There are twice as many women than there are men. It means that

x = y/2

There are 6 more children than there are women. This means that

z = y + 6

Substituting x = y/2 and z = y + 6 into equation 1, it becomes

y/2 + y + y + 6 = 86

multiplying through by 2, it becomes

y + 2y + 2y + 12 = 172

5y = 172 - 12 = 160

y = 160/5 = 32

x = y/2 = 32/2

x = 16

z = y + 6 = 32 + 6

z = 38

8 0

3 years ago