The slope-intercept formula can be written as follows:
y = mx + b
The variable "m" represents the slope of the line, while "b" represents the y-intercept. We'll start with the y-intercept.
We know that the y-intercept can be defined as the value of "y" when "x" is equal to zero. To do this, we will need to find point (0,y). The original problem gives us two points, one of which is (0,2). Because "x" is equal to zero, we know that the y-intercept is 2. Substitute this value into the slope-intercept formula:
y = mx + 2
Now we need to find the slope. Slope can be defined as the "rise" of the line over the "run" of the line. In other words, calculate the change in y-value over the change in x-value. To do this, we will use the "x" and "y" values of the two points given in the problem.
Starting with the y-values (rise), we have 2 and 4. The difference between these two values is 2. Moving on to the x-values (run), we have 0 and 8. The difference between these two values is 8. Now put rise over run and substitute this value into the slope-intercept formula:
y = (2/8)x + 2
Now simplify the right side of the equation:
y = (1/4)x + 2
We now have a complete slope-intercept formula of the line.
I hope this helps!
In my opinion I think it's the third one
Number 19 I think is if you add the awnser to one of the numbers you where subtracting and you get the other number you where subtracting you are right like...
Lets say you had the problem 3-2 which is obviously 1 but if you did 2+1 it's 3 so that's how you check.
The solution to the absolute value inequality is (-3,-2)
<h3>How to determine the absolute inequality?</h3>
On the absolute value inequality, we have:
Interval = -3 to 2
The intervals are represented with open circles.
This means that -3 and 2 are exclusive of the values of the inequality.
So, we have:
-3 < x < 2
As an interval notation, we have:
(-3,-2)
Hence, the solution to the absolute value inequality is (-3,-2)
Read more about absolute value inequality at:
brainly.com/question/13282457
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