I need help with this question

7. Which of the following can be determined from the graph below?

tatyana61 [14]

Answer:

The ordered pair (6,25) is a solution to both

$y=-\frac{5}{2}x+40$ and $y=\frac{5}{3}x+15$

Step-by-step explanation:

Part 7)

step 1

Find the equation of the line with positive slope

take the points (0,15) and (9,30)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the given values

$m=\frac{30-15}{9-0}$

$m=\frac{15}{9}$

simplify

$m=\frac{5}{3}$

Find the equation of the line in slope intercept form

$y=mx+b$

we have

$m=\frac{5}{3}$

$b=15$

substitute

$y=\frac{5}{3}x+15$

step 2

Find the equation of the line with negative slope

take the points (0,40) and (8,20)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the given values

$m=\frac{20-40}{8-0}$

$m=-\frac{20}{8}$

simplify

$m=-\frac{5}{2}$

Find the equation of the line in slope intercept form

$y=mx+b$

we have

$m=-\frac{5}{2}$

$b=40$

substitute

$y=-\frac{5}{2}x+40$

step 3

Find the solution of the system

we know that

The solution of the system of equations is the intersection point both graphs

The intersection point is (6,25) ----> see the graph

therefore

The ordered pair (6,25) is a solution to both $y=-\frac{5}{2}x+40$ and

$y=\frac{5}{3}x+15$

7 0

3 years ago

Use the slope formula to find the missing coordinate: R(0,_), S(-4,2) m=5

Delicious77 [7]

Answer

The missing value is 22

step-by-step explanation

The slope formula is

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

From the question,

m=5

$x_2=-4$

$y_2=2$

and

$x_1=0$

We substitute these values to get,

$5= \frac{2 - y_1}{ - 4- 0}$

Simplify

$5= \frac{2 - y_1}{ - 4}$

$5 \times - 4=2 - y_1$

$- 20=2 - y_1$

$- 20 - 2=- y_1$

$22= y_1$

$y_1 = 22$

The missing value is 22

5 0

3 years ago

HELPP!!! 65 points GIVIN

WITCHER [35]

its 3 1/4 you will thank me later :)

5 0

2 years ago

A coordinate plane showing the Speed of a Red Kangaroo. The x-axis shows Time in seconds and the y-axis shows Distance Traveled

Daniel [21]

Answer:

What is the change in y-values from

Point A to Point B?

50

What is the change in x-values from

Point A to Point B?

1

What is the rate of change of the linear function?

50

feet per second

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

How do you show where an inequality is true on a number line?

Mashutka [201]

Answer:

When the two values are different

Step-by-step explanation:

Like in an inequality equation.

For example:

$4+5x\geq 30$

The answer would be anything greate than or equal to 30, but you would need to find x. The number line would be very useful

Hope this helps

6 0

2 years ago