. 3. Which of these ordered pairs is a solution to the linear inequality y – 4x ≤ –6? . . (Points : 1). A) (–2, 4). B) (1, –2).
1 answer:
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Answer:
Step-by-step explanation:
So, in order to solve this problem, I started off by drawing it out. On my graph that I have attached below, I first started out by locating the points (-5,7) and (2,3). Now, this is an optional step, but I highly encourage practicing your graphing skills by solving this problem on graph paper as well. Next, I connected the two points that I just graphed. This is the line that passes through (-5,7) and (2,3).
Now, here is where the actual solving starts. If you haven't already been taught this yet, I will introduce it to you now. I am going to find the equation of this line by filling in what I know in the equation y=mx+b, where m= the slope of the line, and b= y intercept.
Slope of the line: m=
If you haven't been taught how to find the slope of a line I recommend you find out.
Substitute the slope into the equation.
Now, we will solve for the 'b,' or y intercept.
We already have x and y values to use: (-5,7) or (2,3). I'll use x=2 and y=3 to solve for the y intercept.
Last step: substitute the slope and y intercept into y=mx+b.
That is the answer to this problem.
I hope this helps.
Answer: The slope of the line that passes through (2, 12) and (4, 20) is 4.
The value of the y-intercept is 9.
Step-by-step explanation:
Slope of line passing through (a,b) and (c,d) =
Then, the slope of the line that passes through (2, 12) and (4, 20) =
So, the slope of the line that passes through (2, 12) and (4, 20) is 4.
To find the y-intercept of 3x + 2y = 18, first write in slope intercept form y=mx+c ( where c= y-intercept ).
By comparison, c= 9
Hence, the value of the y-intercept is 9.
The explicit formula for given sequence is:
Step-by-step explanation:
Given sequence is:
-1,4,-16,64.....
We can see that there is no same difference between consecutive terms so we will find common ratio to see if it is a geometric sequence.
Here
The explicit formula for geometric sequence is:
Putting the values of r and a1
Hence
The explicit formula for given sequence is:
Keywords: Geometric sequence, common ratio
Learn more about geometric sequence at:
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