What is the equation of the line in slope-intercept form?
2 answers:
ANSWER
The equation of the line in slope-intercept form is
EXPLANATION
The slope intercept form of a line is given by
Where
is the slope and 
is the y-intercept.
We can read any two points from the graph and use it to determine the slope of the line.
For instance, the graph passes through the points
and 
The slope can be found using the formula,
This implies that,
Also the y-intercept is
Therefore
We substitute all these values in to the above equation to obtain,
The equation of the line in slope-intercept form is
EXPLANATION
The slope intercept form of a line is given by
Where
is the y-intercept.
We can read any two points from the graph and use it to determine the slope of the line.
For instance, the graph passes through the points
The slope can be found using the formula,
This implies that,
Also the y-intercept is
Therefore
We substitute all these values in to the above equation to obtain,
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Answer:
Step-by-step explanation:
Since Gloria cannot pay for each minute talked but for packages of 200 minutes at the rate of $25 each, we have to make calculations according to these conditions as follows:
Month 1:
Gloria talked on her cell phone for . So, she had to buy 2 packages of
for
each package.
Hence:
Month 2:
Gloria talked on her cell phone for . So, she had to buy again 2 packages of
for
each package.
Hence:
Month 3:
Gloria talked on her cell phone for . So, she had to buy 3 packages of
for
each package.
Hence:
Then, if we take the total Gloria had to pay for the frist three months, we have:
Answer:
Zeros : 1 , -1, 3
Degree : 4
End Behaviour : At x-> ∞ f(x) -> ∞ and x->-∞ f(x) -> ∞
Y - intercept : -3
Extra Points: (0,-3), (2,-3)
Step-by-step explanation:
f(x) = 0 to find the zeros
Clearly x = -1,1,3
Here 1 is a repeating root as it is (x-1)²
Degree is highest power of x in f(x)
Clearly it is x*x²*x = x⁴ is the maximum power of x
Thus degree is 4
Looking at end behavior we substitute x->∞ and x-> -∞
Clearly f(x)>0 as all terms are positive and f(x)->∞
Similarly when x->-∞
f(x)>0 as 2 terms are -ve and their product is positive thus f(x)-> ∞
Y-Intercept is f(0)
f(0) = (0+1)(0-1)²(0-3) = 1*1*-3 = -3
Thus Y-Intercept is -3
Substitute x = 0 , 2 for extra points
Thus f(0) = -3
and f(2) = -3
Thus points on the graph (0,-3), (0,2)
We can use all this information to draw a graph remember that 1 is a repeating root so that will be a point of minima. The graph is a parabola that passes through x-axis at x = -1, 3.