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3 years ago

What is the slope of the graph?

Mathematics

1 answer:

Nookie1986 [14]3 years ago

4 0

Answer: The slope is $\frac{3}{5}$

Step-by-step explanation:

The slope of a line can be calculated with the following formula:

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

Observe the graph provided in the exercise.

You can notice that these two points are on the line:

$(2,3)$ and $(7,6)$

Then you can identify that:

$y_2=3\\y_1=6\\\\x_2=2\\x_1=7$

Knowing these coordinates, you can substitute values into the formula for calculate the slope.

Then, you get that the slope of the graph is:

$m=\frac{3-6}{2-7}\\\\m=\frac{-3}{-5}\\\\m=\frac{3}{5}$

You might be interested in

Is 32k+24=8(4k+3) true? a.True b.False

melisa1 [442]

Answer:

a. True.

Step-by-step explanation:

32k + 24 = 8(4k + 3)

32k + 24 = 32k + 24

32k - 32k = 24 - 24

0 = 0

Since 0 does equal 0, the statement is a. True.

Hope this helps!

6 0

3 years ago

Read 2 more answers

Stuck on this one someone pls helpp

MAXImum [283]

Answer:

is this is ur online test ????

7 0

3 years ago

If x2+y2=40 and xy=5 then find(x+y)2

VMariaS [17]

Answer:

(x + y)^2 = 45

Step-by-step explanation:

$(x + y)^{2} = x^{2} +xy + y^{2}$

= 40 + 5 = 45

8 0

3 years ago

An art museum has a pentagon-shaped room. When drawn to scale on a coordinate grid, the corners of the room are points (18,20):

AURORKA [14]

Answer:

$2\ gal$

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

$A(18,20),B(4,20),C(4,4),D(16.2),E(22.10)$

step 1

Find the distance AB

we have

$A(18,20),B(4,20)$

substitute in the formula

$d=\sqrt{(20-20)^{2}+(4-18)^{2}}$

$d=\sqrt{(0)^{2}+(-14)^{2}}$

$AB=14\ ft$

step 2

Find the distance BC

we have

$B(4,20),C(4,4)$

substitute in the formula

$d=\sqrt{(4-20)^{2}+(4-4)^{2}}$

$d=\sqrt{(-16)^{2}+(0)^{2}}$

$BC=16\ ft$

step 3

Find the distance DE

we have

$D(16.2),E(22.10)$

substitute in the formula

$d=\sqrt{(10-2)^{2}+(22-16)^{2}}$

$d=\sqrt{(8)^{2}+(6)^{2}}$

$d=\sqrt{100}$

$DE=10\ ft$

step 4

Find the distance AE

we have

$A(18,20),E(22.10)$

substitute in the formula

$d=\sqrt{(10-20)^{2}+(22-18)^{2}}$

$d=\sqrt{(-10)^{2}+(4)^{2}}$

$d=\sqrt{116}$

$AE=10.77\ ft$

step 5

Find out the area of the four walls

To determine the area sum the length sides and multiply by the height of the walls

$A=(AB+BC+DE+AE)h$

substitute the given values

The height of the walls is 10 ft

$A=(14+16+10+10.77)10$

$A=(50.77)10$

$A=507.7\ ft^2$

step 6

Determine the number of gallons needed to paint the four walls

we know that

one gallon of paint is enough to cover 400 square feet

using proportion

$\frac{1}{400}\ \frac{gal}{ft^2}=\frac{x}{507.7}\ \frac{gal}{ft^2}\\\\x=507.7/400\\\\x= 1.27\ gal$

Round up

$x=2\ gal$

5 0

3 years ago

Help needed! Can I get some help with two questions?

Elodia [21]

Red

This is a circle with center (h, k) at (0,0) and radius (r) = 6

Formula: (x - h)² + (y - k)² = r²

Answer: x² + y² = 36

***************************************

Blue

This is a circle with center (h, k) at (2,2) and radius (r) = 1

Formula: (x - h)² + (y - k)² = r²

Answer: (x - 2)² + (y - 2)² = 1

***************************************

Green:

This is a circle with center (h, k) at (-2,-2) and radius (r) = 1

Formula: (x - h)² + (y - k)² = r²

Answer: (x + 2)² + (y + 2)² = 1

***************************************

Purple:

This is an ellipse with center (h, k) at (0,-2) and radius on the x-axis (a) = 3 and radius on the x-axis (b) = 1

Formula: $\frac{(x-h)^{2}}{a^{2}} +\frac{(y-k)^{2}}{b^{2}}=1$

Answer: $\frac{x^{2}}{9} +(y+2)^{2}=1$

***************************************

Black:

This is a parabola with vertex (h, k) at (0,-6) and vertical stretch (a) = -1

Formula: y = a(x - h)² + k

Answer: y = -x² - 6

7 0

2 years ago