The equation of a line in the slope intercept form is expressed as
y = mx + c
Where
m represents slope
c represents y intercept
The equation of the given line is expressed as
3x - 6y = 30
Rearranging it so that it will look like the slope intercept form, it becomes
6y = 3x - 30
Dividing both sides by 6, it becomes
6y/6 = 3x/6 - 30/6
y = x/2 - 5
Looking at the equation, slope, m = 1/2
If two lines are parallel, it means that they have equal slope. This means that the slope of the line parallel to the given line is 1/2
To determine the y intercept, c of the line passing through the point (4, - 9), we would substitute
x = 4, y = - 9 and m = 1/2 into the slope intercept equation. It becomes
- 9 = 1/2 * 4 + c
- 9 = 2 + c
c = - 9 - 2
c = - 11
By substtuting m = 1/2 and c = - 11 into the slope intercept equation, the equation of the line would be
y = x/2 - 11
Answer:
I dont understand that sorry
Answer:
Maximum height of the arrow is 203 feets
Step-by-step explanation:
It is given that,
The height of the arrow as a function of time t is given by :
..........(1)
t is in seconds
We need to find the maximum height of the arrow. For maximum height differentiating equation (1) wrt t as :
t = 2 seconds
Put the value of t in equation (1) as :
h(t) = 203 feet
So, the maximum height reached by the arrow is 203 feet. Hence, this is the required solution.
Answer:
-7/2
Step-by-step explanation:
The slope of a line can be defined as: , which can be more formally calculated as: , where it's essentially the same thing, except the rise/run is being calculated with two points (which you already need)
So let's just say:
Plugging the values into the equation we get:
You can also just look at the graph and see that from point 1 to point 2, it "rised" -7 units, and "ran" 2 units.
Notice how the "rise" is negative? That just means it went down.