Answer:
slope : 3/2 Y-intercept : 3 ------------> (0,3) (2,6) are the points
Step-by-step explanation:
<u>X | Y</u>
0 | 3
2 | 6
Answer:
You could just replace all the given possible values of k in the inequality and see which ones are solutions, but let's solve this in a more interesting way:
First, remember how the absolute value works:
IxI = x if x ≥ 0
IxI = -x if x ≤ 0
Then if we have something like:
IxI < B
We can rewrite this as
-B < x < B
Now let's answer the question, here we have the inequality:
I-k -2I < 18
Then we can rewrite this as:
-18 < (-k - 2) < 18
Now let's isolate k:
first, we can add 2 in the 3 parts of the inequality:
-18 + 2 < -k - 2 + 2 < 18 + 2
-16 < -k < 20
Now we can multiply all sides by -1, remember that this also changes the direction of the signs, then:
-1*-16 > -1*-k > -1*20
16 > k > -20
Then k can be any value between these two limits.
So the correct options (from the given ones) are:
k = -16
k = -8
k = 0
Answer: y=-3/4x-2
Step-by-step explanation:
Write an equation of a line in slope-intercept from with the given slope, slope:–3/4, y-intercept: –2
The y-intercept is at (0,-2)
Then we write the equation using y=mx+b becuase that is the point slope form.
m=-3/4 which was given in the question
because y-intercept is at (0,-2)
y=-2
x=0
-2=-3/4(0)+b
-2=0+b
-2=b
now we know that m is -3/4 and b is -2
Hence the equation is y=-3/4x-2
Answer:
x = -8
Step-by-step explanation:
Since there is no slope, there is no need for a y variable to appear in your final equation. The graph will cross y = -8 horizontally. So therefore, x = -8
This is a pretty short explanation, but there's not too much to it. Hope this helped :)
