Which number best represents the slope of the graphed line?
1 answer:
The number that best represents the slope of the graphed line that is given is: -4.
<h3>What is the Slope of a Line?</h3>The slope of a line is the ratio of the vertical distance to the horizontal distance across the line. It is calculated using the formula:
Slope (m) = rise/run = change in y / change in x = (y2 - y1)/(x2 - x1)
Given the two points on a coordinate plane as shown in the mage below, let:
(x1, y1) represent (0, 2)
(x2, y2) represent (0.5, 0)
Plug in the values
Slope (m) = change in y / change in x = (0 - 2) / (0.5 - 0)
Slope (m) = -2/0.5
Slope (m) = -4
Therefore, we can state that, the number that best represents the slope of the graphed line that is given is: -4.
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Answer:
Step-by-step explanation:
y = 3x + 4, and
y = x + 2
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Use the vale of y in the 2nd equation in the first:
y = 3x + 4
x + 2 = 3x + 4
-2x = 2
x = -1
Use this value of x (-1) in either equation to find y:
y = x + 2
y = -1 + 2
y = 1
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(-1,1)
See attached graph.
