Answer:
B) Yes, because the slope is 
and the zero is (12, 0)
Step-by-step explanation:
From inspection of the graph:
- y-intercept = (0, 100)
- Two points: (3, 75) and (6, 50)
Therefore, the equation of the line in slope-intercept form y = mx + b
(where m is the slope and b is the y-intercept) is:
To find the zero (when y = 0), set the equation to zero and solve for x:
Therefore, the zero is at (12, 0)
Therefore, the graph does represent the function because the slope is and the zero is at (12, 0)
The idea being, we first, move the repeating part to the left of the decimal point, by simply multiplying it by a power of 10, in this case, we need to move 318, so we need then 1000, 3 decimals, 3 zeros.
and we'll make the expression a variable, so let's do so first,
Answer:
Step-by-step explanation:
We want to write the equation of a line that passes through (5, 6) and (-1, 4).
First, let's find our slope. We can use the slope formula:
Let's let (5, 6) be (x₁, y₁) and let's let (-1, 4) be (x₂, y₂). So, our slope is:
Subtract:
Reduce:
So, our slope is 1/3.
Now, we can use the point-slope form, which is:
For consistency, let's let (5, 6) be (x₁, y₁). We will also substitute 1/3 for m. So:
Distribute:
Add 6 to both sides:
Add:
And we're done!
