Hello I'm having some difficulities learning about the graphing, slopes, and equations, can you please help me with this:
The price of an amusement park ticket is greather than or equal to $29 The inquality is?
find the slope x+2y=4
A. M=
B. or undefined
(1.)identify the y-intercept
y=1/4x (type the ordered pair)
2. y=4/3x+2 (the y intercept is?)
3.y=-10x+8
4. y=-1/3x+2
5.what is the y-intercept?
2x-4y=32
what is the x-intercept?
6. is -4 is a solution of the inequality?
(a) first, represent the unknown with a variable,,
*let P = price of amusement park ticket
the sign of greater than is > ; greater than or equal to is > with underline (but here i will use >=):
P >= 29
(b) if you're given an equation and you need the slope, you must transform this equation into y = mx + b (this is called the slope-intercept form, because m=slope and b=y-intercept),, thus:
x + 2y = 4
2y = 4 - x
y = (-1/2)x + 2
thus, m = -1/2
(c) y = 1/4x -- already in the slope-intercept form [discussed in (b)]
thus, y-int = b = 0
(d) y=4/3x+2 ; thus, b = 2
(e) y=-10x+8 ; thus, b = 8
(f) y=-1/3x+2 ; thus, b = 2
(g) 2x-4y=32
-4y = 32 - 2x
y = (1/2)x - 8 ; thus b = -8
*to get x-intercept, let y = 0:
2x - 4(0) = 32
2x = 32
x = 16
(h) if it refers to (a), -4 is not a solution, since -4 is not greater than or equal to 29
so there,, :)
thank you
Sure, I'll be happy to help you with graphing, slopes, and equations! Let's go through each of your questions step by step:
1. The price of an amusement park ticket is greater than or equal to $29. The inequality is:
Price ≥ $29
2. Find the slope of the equation x + 2y = 4.
To find the slope, we need to rewrite the equation in the slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.
x + 2y = 4
2y = -x + 4
y = (-1/2)x + 2
Comparing it with y = mx + b, the slope (m) is -1/2. Therefore, the answer is A. M = -1/2.
3. Identify the y-intercept for the equation y = (1/4)x.
In the slope-intercept form, the y-intercept is represented as the ordered pair (0, b), where b is the y-intercept.
For the equation y = (1/4)x, the y-intercept is (0, 0) since there is no constant term. Therefore, the ordered pair would be (0, 0).
4. In the equation y = (4/3)x + 2, find the y-intercept.
Again, the y-intercept is the point where the graph intersects the y-axis. In the equation y = (4/3)x + 2, the constant term is 2, so the y-intercept is (0, 2).
5. In the equation 2x - 4y = 32, find the y-intercept.
To find the y-intercept, we set x = 0 and solve for y.
2(0) - 4y = 32
-4y = 32
y = -8
Therefore, the y-intercept is (0, -8).
6. In the equation 2x - 4y = 32, find the x-intercept.
To find the x-intercept, we set y = 0 and solve for x.
2x - 4(0) = 32
2x = 32
x = 16
Therefore, the x-intercept is (16, 0).
7. Is -4 a solution of the inequality?
You did not provide an inequality in question 7. Please provide the inequality, and I will be able to determine whether -4 is a solution or not.
I hope these step-by-step explanations help you better understand graphing, slopes, and equations. Let me know if you have any further questions!