Identify the slope and y-intercept of each of the following lines. Then graph each line.
2 answers:
- x=-7
So
line will be parallel to y axis
no y intercept as parallel to y axis means it will never intercept y axis
- Slope will undefined
Graph attached
Answer:
Below!
Step-by-step explanation:
Since there is a variable (x) on the L.H.S and a constant (-7) on the R.H.S, the line will be a vertical line intersecting the x-coordinate (-7).
~Graph attached
<u>Determining the y-intercept of the line:</u>
Since the line is a vertical line, it's y-intersept is undefined as it will never intersect the y-axis.
<u>Determining the slope of the line:</u>
To determine the slope of the line, pick any two points that is <u>on</u> the line.
- ⇒ (-7, 0) and (-7, 1)
Using the slope formula (y₂ - y₁/x₂ - x₁):
- ⇒ 1 - 0/-7 - (-7)
- ⇒ 1/-7 + 7
- ⇒ 1/0
∴ Any number divided by 0 is undefined
- ⇒ underfined
Thus, the slope and the y-intercept are undefined.
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Answer:
The explicit formula
The recursive formula
for
if
Step-by-step explanation:
If a sequence is arithmetical then the difference between any of its consecutive terms will be constant
3, 3.25, 3.5, 3.75,
The difference between the consecutive terms remains constant so the sequence is arithmetic.
The explicit formula for an arithmetic sequence is:
Where d is the constant difference between the terms.
is the first term of the sequence.
So
Finally, the recursive formula is: