there is a line that includes the point (1,5) and has a slope of 15. what is its equation in slope-intercept form?
1 answer:
You might be interested in
Answer:
90 minutes
Step-by-step explanation:
See attachment for graph.
First, we need to determine the slope.
When y = 900, x = 0
When y = 600, x = 30
The slope is then calculated as:
m = (y2 - y1)/(x2 - x1)
m = (600 - 900)/(30 - 0)
m = -300/30
m = -10
Next, we determine the equation of the line using
y - y1 = m(x - x1)
So, we have:
y - 900 = -10(x - 0)
y - 900 = -10x
y = 900 - 10x
When the container is empty, y = 0.
So, we have:
0 = 900 - 10x
Collect Like Terms
10x = 900
Solve for x
x = 900/10
x = 90
Answer:
Step-by-step explanation:
Given two parametric equations and
, the first derivative can be found using the following equation:
In this problem, and
. Finding the derivative of each of these functions with respect to
gives us the following:
Because , that means the function is a vertical line and has an infinite first derivative.