The slope of the graph is 4/5
<h3>How to determine the slope</h3>Using the formula
Slope = Δ y-axis / Δ x- axis
y2 = -4
y1 = 0
x2 = -5
x1 = 0
Slope =
Substitute the values into the formula
<em>Slope = </em>
Slope =
Slope =
Therefore, the slope of the graph is 4/5
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Answer:
6 hours
Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
Let
x ----> the hours a soccer team practiced after the season started
y ----> the total practice time for the year in hours
we know that
The y-intercept of a linear equation is the value of x when the value of y is equal to zero
In the context of this problem, the y-intercept is the total practice time before the season began (the value of x is equal to zero)
Looking at the graph
The y-intercept is the point (0,6)
therefore
the total practice time before the season began is 6 hours
Answer:
The equation of the line tangent to the graph of f at x = -1 is .
Step-by-step explanation:
From Analytical Geometry we know that the tangent line is a first order polynomial, whose form is defined by:
(1)
Where:
- Independent variable, dimensionless.
- Dependent variable, dimensionless.
- Slope, dimensionless.
- Intercept, dimensionless.
The slope of the tangent line at is:
(2)
If we know that ,
and
, then the intercept of the equation of the line is:
The equation of the line tangent to the graph of f at x = -1 is .
