Answer: See attached.
Step-by-step explanation:
When we have a simple x = a equation, the line will be vertical since all y values of that function/equation are equal to a. In this case, that is 1.
Similar thing for a y = b equation. The line will be horizontal since all x values of that function/equation are equal to b. In this case, that is -5.
Answer: Refer to below
Step-by-step explanation:
<u>Given equations</u>
x = 1
y = -5
<u>Determine the line of x = 1</u>
The slope is undefined for any line that is x = a, where a is a constant. This is because the line is vertical, which means that rise/run = ∞ / 0
Thus, x = 1 should be drawn vertically across the point of (1, 0)
<u>Determine the line of y = -5</u>
The slope is 0 for any line that is y = a, where a is a constant. This is because the line is horizontal, which means that rise/run = 0 / ∞
Thus, y = -5 should be drawn horizontally across the point of (0, -5)
The explicit formula is a(n) = 15(n – 10)
<u>Solution:</u>
Given, a term a(19) = 135 and common difference d = 15
We have to find the explicit formula.
Now, we know that, a(n) = a + (n – 1)d where a(n) is nth term, a is first term, d is common difference,
So, for a(19)
Now, we know that, an explicit formula is an expression for finding the nth term,
So, in our problem, expression for finding nth term is a + (n – 1)d
Hence, the explicit formula is a(n) = 15(n – 10).