Help pleaseee what are the answers to these questions??

Find the slope of every line that is parallel to the line on the graph.

melamori03 [73]

Answer:

-1/5

Step-by-step explanation:

What are parallel lines?

Lines that are parallel never touch. They can extend infinitely and they will still never touch. In order for this to happen the slope of the two lines must be the same. So if we want to find the slope of every line that is parallel to the line on the graph, we simply find the slope of the line of the graph.

Finding the slope

We can find the slope using the following formula:

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

Where the x and y values are derived from any given points on the line (x1,y1) and (x2,y2)

Here the given points are (-5,-1) and (0,-2)

So we have (x1,y1) = (-5,-1) meaning x1 = -5 and y1 = -1

We also have (x2,y2) = (0,-2) meaning x2 = 0 and y2 = -2

Now we plug these values into the formula

Recall formula : $Slope=\frac{y_2-y_1}{x_2-x_1}$

==> Plug in x1 = -5 , y1 = -1 , x2 = 0 and y2 = -2

$Slope=\frac{-2-(-1)}{0-5}$

==> simplify numerator and denominator

$slope = \frac{1}{-5}$

So the slope of the line is -1/5

This means the slope of any parallel line to that line would also have a slope of -1/5

8 0

2 years ago

The equation of a linear function in point-slope form is y – y1 = m(x – x1). Harold correctly wrote the equation y = 3(x – 7) us

Yanka [14]

Answer:

The point is (7,0).

Step-by-step explanation:

The equation of a linear function in point-slope form is as follows :

$y-y_1=m(x-x_1)$ ...(1)

Where

(x₁,y₁) are the coordinates of the point which the line passes through it and (x,y).

Harold correctly wrote the equation y= 3(x–7)

or we can write it as :

y-0=3(x-7) ...(2)

Comparing equations (1) and (2), we get :

x₁ = 7 and y₁ = 0

So, the point is (7,0).

The correct option is (c).

7 0

3 years ago

On a coordinate plane, a line goes through points (negative 3, 0) and (0, 3).

Darina [25.2K]

Answer:

Slope-Intercept form: y=x+3

Step-by-step explanation:

The Slope-Intercept form is y=mx+b

You first have to find the slope. You can use the graph and count or you can use the table and use the slope formula $m=\frac{y_2-y_1}{x_2-x_1}$ . You then have to find (b) which is the y-intercept. You can find this easily using the graph or the table.

7 0

3 years ago

2 + 31 X To + 14 x 10 2.345 100 O I

Ne4ueva [31]

Answer:

12-12=21

Step-by-step explanation:

i think it is that

6 0

3 years ago

The student council at Livingston High School is making T-shirts to sell for a fundraiser, at a price of $16 apiece. The costs,

Allushta [10]

Answer:

5 shirts must be sold.

Step-by-step explanation:

First, set up the equation. Each shirt (x) is sold for $16:

For every amount (y) for x: (y)(x) = (16)(y)

The cost is $4, with the setup fee as $60.

(16)(y) = (4)(y) + 60

16y = 4y + 60

Isolate the variable (y). Note the equal sign, what you do to one side, you do to the other. First, subtract 4y from both sides.

16y (-4y) = 4y (-4y) + 60

16y - 4y = 60

12y = 60

Next, isolate the variable (y). Divide 12 from both sides.

(12y)/12 = (60)/12

y = 60/12

y = 5

5 shirts must be sold.

To check, plug in 5 for y in the equation:

16y = 4y + 60

16(5) = 4(5) + 60

Simplify.

16(5) = 4(5) + 60

80 = 4(5) + 60

80 = 20 + 60

80 = 80 (True).

~

7 0

3 years ago