Which set of points contains the solutions to the inequality y ≤ 8x – 3? A. {(–3,–17), (4,11), (7,19)} B. {(3,22), (2,3), (8,27)
Nady [450]
Just to clarify, here are the answer choices:
A. {(–3,–17), (4,11), (7,19)}
B. {(3,22), (2,3), (8,27)}
C. {(4,29), (–6,–58), (7,19)}
D. {(–2,–18), (4,37), (5,15)}
And all of the points in the set must satisfy y ≤ 8x – 3.
The only way is to go through each answer choice, eliminating each that is wrong.
A) -17 ≤ -3*8-3
-17 ≤ -21 ✘
B) 22 ≤ 3*8-3
22 ≤ 21 ✘
C) a) 29 ≤ 8*4-3
29≤29 ✔
b) -58 ≤ 8*(-6)-3
-58 ≤ -49 ✔
c) 19 ≤ 7*8-3
19 ≤ 53 ✔
It becomes clear that the answer is C. But just to make sure, we must check D to make sure C is really the answer.
D) -18 ≤ 8(-2)-3
-18 ≤ -19 ✘
That means that C is the answer.
The answer would be horizontal reflection because it has been reflected over a horizontal line. Hope this helps :-)
Answer:
y =3x - 5
Step-by-step explanation:
Well one of the way to do this question is the formula given below your question, but for me, i rather do it this way
OK they gave u y=3x - 12
And they say another line is parallel, once u see the word parallel means they have the same angle, same slope, same gradient ( sorry if I give u the wrong terms, since I learn mine in Malay)
So first u got to understand the slope-intercept form
y = mx + c
y is your y coordinate
x is your x coordinate
m is your gradient ( as in how much the line slants)
c is the y - intercept, as in, if u draw a graph, the y-coordinate where your line touches the y-axis (the vertical line)
So since the say the both lines are parallel, so both of their "m" is the same that is 3. Why? Cuz just compare
y = mx + c
y = 3x - 12
Therefore the m is 3
Therefore u alredy got your first value, so put it in your slope intercept form
y = mx + c
y = 3x + c
Now how to find c? Very easy, just put in the value of y and x from the coordinate ( that the line youre finding is on) they gave u, just put the value in
They gave u
(1, - 2)
So when x = 1, y = - 2
Therefore put it in
y = 3x + c
-2 = 3 (1) + c
c = - 5
Since now u have your m and c value, your slope intercept form is done, just put it in
y = mx + c
y = 3x + (-5)
y = 3x -5
