What do the y intercept and the slope mean in the context of the example problem y=-4x+20
1 answer:
Answer:
Therefore,
Step-by-step explanation:
Intercepts:
The line which intersect on x-axis and y-axis are called intercepts.
There are two intercepts:
x-intercept: The line which intersect at x-axis. So when the line intersect at x-axis Y coordinate is zero.
y-intercept: The line which intersect at y-axis. So when the line intersect at y-axis X coordinate is zero.
Given:
We have General Equation for POINT-SLOPE form for a line is given as
where,
m = Slope of Line
c = y-intercept
On Comparing the given Equation with Point-Slope form we have
Therefore,
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Answer:
Step-by-step explanation:
experimental probability is the probability of an event occuring when we perform an experiment.
It goes according to the results of the experiment, not the theory behind it.
<u>Probability of landing tails up, therefore, is the number of times it came tails up divided by the total number of times the coin was flipped.</u>
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Hence
P (tails) = 36/80 = 9/20
Answer:
See explanation
Step-by-step explanation:
a) To prove that DEFG is a rhombus, it is sufficient to prove that:
- All the sides of the rhombus are congruent:
- The diagonals are perpendicular
Using the distance formula;
Using the slope formula;
The slope of EG is
The slope of EG is undefined hence it is a vertical line.
The slope of DF is
The slope of DF is zero, hence it is a horizontal line.
A horizontal line meets a vertical line at 90 degrees.
Conclusion:
Since and
, DEFG is a rhombus
b) Using the slope formula:
The slope of DE is
The slope of FG is