Your answer is true.
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
The equation is used to find the equation of a line in slope-intercept form.
m is used to represent the slope.
x is used to represent the x-axis.
y is used to represent the y-axis.
b is used to represent the y-intercept.
<em>If you have any questions, feel free to ask! :)</em>
Answer:
See photo (again)
Step-by-step explanation:
R=rockhopper penguin, emperor=45
r=45-24=21 inches tall.
The answer is reasonable, because if an emperor penguin is 45 inches tall. You subt. 45-21=24 inches taller than the rockhopper penguin.
Answer:
x = 5, y = 2
Step-by-step explanation:
First, find the value of x in respect to y:
2x + 3y = 16
2x = 16 - 3y
x = 8 - 3/2y
Then, substitute this expression into the second equation (Since we've established x is equal to 8 - 3/2y, we can put that in place of x):
4(8 - 3/2y) + 10y = 40
Then, distribute and solve for y:
32 - 6y + 10y = 40
32 + 4y = 40
4y = 8
<u>y = 2</u>
Now that we know what y equals, we can substitute the value of y in the equation to find x:
2x + 3(2) = 16
2x + 6 = 16
2x = 10
<u>x = 5</u>
Answer:
![\sf m = \dfrac{4}{3}](https://tex.z-dn.net/?f=%20%5Csf%20m%20%3D%20%5Cdfrac%7B4%7D%7B3%7D%20)
Step-by-step explanation:
Given,
= (2, -5) and
= (8, 3)
The slope formula is, ![\sf m = \dfrac{y_2 - y_1}{x_2 - x_1}](https://tex.z-dn.net/?f=%20%5Csf%20m%20%3D%20%5Cdfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D%20)
![\sf m = \dfrac{3 - (-5)}{8 - 2}](https://tex.z-dn.net/?f=%20%5Csf%20m%20%3D%20%5Cdfrac%7B3%20-%20%28-5%29%7D%7B8%20-%202%7D%20)
![\sf m = \dfrac{8}{6}](https://tex.z-dn.net/?f=%20%5Csf%20m%20%3D%20%5Cdfrac%7B8%7D%7B6%7D%20)
![\bf m = \dfrac{4}{3}](https://tex.z-dn.net/?f=%20%5Cbf%20m%20%3D%20%5Cdfrac%7B4%7D%7B3%7D%20)