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.
You might be interested in
The function is 
, and according to the description of the function in the problem statement, we have the following:
at t=0 after being thrown (that is, at initial time), the height of the ball is calculated by h(0) as follows:
(ft), which is the initial height, as expected.
At t=1 (sec), the height would be
.
etc.
The path is parabolic, as we know by seeing that the function is a quadratic polynomial function. This function has been given in factored form as well. From that we can see that the zeros of the function are t=7 and t=-2.
This means that at t=7 sec, the height h is 0, which means that the ball has hit the ground. t=-2 has no significance in the context of our problem so we just neglect it.
Answer: B) 7 sec
at t=0 after being thrown (that is, at initial time), the height of the ball is calculated by h(0) as follows:
At t=1 (sec), the height would be
etc.
The path is parabolic, as we know by seeing that the function is a quadratic polynomial function. This function has been given in factored form as well. From that we can see that the zeros of the function are t=7 and t=-2.
This means that at t=7 sec, the height h is 0, which means that the ball has hit the ground. t=-2 has no significance in the context of our problem so we just neglect it.
Answer: B) 7 sec