Find the common denominator.
8 and 10 have the common denominator of 80.
So 30/80 + 24/80
= 54/80
But we have to simplify it.
54/80 = 27/40
Answer: m = 0
Step-by-step explanation: To solve this problem, we don't even have to use our slope formula. It's important to understand that when we have the same <em>y</em> coordinate in our first ordered pair and our second ordered pair, this means that the line will be flat or horizontal.
When a line is horizontal, it means the line has a slope of zero.
We use the variable <em>m</em> to represent slope.
So here, we can say that <em>m = 0</em>.
4 5/2 is 6 1/2 in simplest form!
Step-by-step explanation:
find a common denominator of 12 for each fraction
multiply both sides by 12
12s cancel out
add three to both sides
divide both sides by 10
The tens on the left side cancel
Hey there!
Let's go through all of our options.
A) It's defintely not curved; it's written in slope intercept form and is indeed a straight line.
B) Yes, the graph is a straight line. Although it's at an angle, it has no curves or flaws, and is completely straight.
C) The graph is not vertical. It has a y intercept and slope and therefore isn't. That's because it has a rate of change, and it crosses the y axis at some point depending on the slope, or rise over run. Vertical lines really don't have that.
D) Yes, the graph is a function. This is because it does not have two x values for one y, and does not fail the straight line test, which states that you can place a straight line anywhere on the graph and it can only go through one point.
E) This is false. If we put in -5 as our input, we add 1 and get -4, which is a negative output. Your output here depends on the input you put in, and the sign usually remains considering it's +1.
F) This graph does not pass through the origin. This is because the origin has a point at 0,0 and since it's x+1, it would be 0,1 instead because your output is adding one to that 0.
Hope this helps!
