1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mice21 [21]
3 years ago
13

What is the rate of change for a linear function that passes through the points (8, -10) and (-6, 14)

Mathematics
1 answer:
Anna71 [15]3 years ago
8 0

Answer: m=-1.714

Step-by-step explanation:

By definition, the slope of the line is described as "Rate of change".

You need to use the following formula to calcualte the slope of the line;

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

In this case you know that the line passes through these two points: (8, -10) and (-6, 14).

Then, you can say that:

y_2=-10\\y_1=14\\\\x_2=8\\x_1=-6

Knowing these values, you can substitute them into the formula for calculate the slope of a line:

 m=\frac{-10-14}{8-(-6)}

Finally, you must evaluate in order to find the slope of this line. You get that this is:

m=\frac{-24}{8+6}\\\\m=\frac{-24}{14}\\\\m=-\frac{12}{7}\\\\m=-1.714

You might be interested in
The area of a rectangular pool is given by the trinomial 4y
Amiraneli [1.4K]
The dimensions for the pool would be (y+2)(4y-5)
3 0
3 years ago
Point b has coordinates (3,-4) and lies on the circle whose equation is x^2 + y^2= 25. If angle is drawn in a standard position
lakkis [162]
<span>Point B has coordinates (3,-4) and lies on the circle. Draw the perpendiculars from point B to the x-axis and y-axis. Denote the points of intersection with x-axis A and with y-axis C. Consider the right triangle ABO (O is the origin), by tha conditions data: AB=4 and AO=3, then by Pythagorean theorem:
</span>
<span>BO^2=AO^2+AB^2 \\ BO^2=3^2+4^2  \\ BO^2=9+16  \\ BO^2=25  \\ BO=5.
</span>
{Note, that BO is a radius of circle and it wasn't necessarily to use Pythagorean theorem to find BO}
<span>The sine of the angle BOA is</span>
\sin \angle BOA= \dfrac{AB}{BO} = \dfrac{4}{5} =0.8

Since point B is placed in the IV quadrant, the sine of the angle that is <span> drawn in a standard position with its terminal ray will be </span>
<span /><span>
</span><span>
</span>\sin \theta=-0.8 .





3 0
3 years ago
Given the linear equation 6x-2=2x+12, find x<br> HELPPP PLEASEEE ASAP!!! <br> Processss!
EleoNora [17]

Answer:

x=3.5

Step-by-step explanation:

add 2 to each side to cancel out the -2

6x=2x+14

subtract 2x from each side

4x=14

divide by 4

x=3.5

4 0
3 years ago
Evaluate. 5! - 4! = [1] <br><br> May any math experts please help thank you
Bogdan [553]

Answer:

116=1

Step-by-step explanation:

I hope this helps you!

6 0
3 years ago
Simplify the expression. What is (-8.6)^0
blagie [28]

Answer:

1

Step-by-step explanation:

Any number to the power of zero is equal to 1. If the negative would be on the outside of the parenthesis, though, the answer would be -1

5 0
3 years ago
Other questions:
  • Donna received a $90 gift card for a coffee store. She used it in buying some coffee that cost $7.24 per pound. after buying the
    6·2 answers
  • G = {(5, 3), (2, 3), (6, 4)}<br> G-1 is a function.<br> True<br> False
    10·1 answer
  • Matt’s friend, Franny, found that the volume of a rectangular prism was 96 in sqaured. She remembered that the area of the base
    9·1 answer
  • Simplify:<br> 4y–7+ – 9y+9y
    5·2 answers
  • The set of counting numbers is finite, infinite
    8·2 answers
  • Find the value of x. Round your answer to the nearest tenth.
    5·1 answer
  • ::::::::::::::::::::::::
    5·1 answer
  • I’m very smart. My hair is dark. I love to eat honey, insects, and bark.
    14·1 answer
  • When should Estimation not be used?
    9·2 answers
  • a culture of bacteria starts with 505050 bacteria and increases exponentially. the relationship between bbb, the number of bacte
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!