Posted by kiki83 on .
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 yintercept
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 yintercept?
2x4y=32
what is the xintercept?
6. is 4 is a solution of the inequality?

Mat/116 Algebra 
jai,
(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 slopeintercept form, because m=slope and b=yintercept),, thus:
x + 2y = 4
2y = 4  x
y = (1/2)x + 2
thus, m = 1/2
(c) y = 1/4x  already in the slopeintercept form [discussed in (b)]
thus, yint = 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) 2x4y=32
4y = 32  2x
y = (1/2)x  8 ; thus b = 8
*to get xintercept, 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,, :) 
Mat/116 Algebra 
kiki83,
thank you