A coordinate plane shows four quadrants with both the x-axis and the y-axis ranging from negative 10 to positive 10 in increments of 2. Two points are plotted and joined by a line. The plotted points are as follows: left parenthesis negative 8 comma 0 right parenthesis, left parenthesis 0 comma 4 right parenthesis. A line connects the two plotted points and extends beyond the points in both directions.
Find the slope of the line given its graph.
(1 point)
Responses
−12
negative Start Fraction 1 over 2 End Fraction
4
4
12
Start Fraction 1 over 2 End Fraction
2
2
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1 answer
To find the slope of the line that connects the points \((-8, 0)\) and \((0, 4)\), we can use the formula for the slope \(m\):
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
where \((x_1, y_1) = (-8, 0)\) and \((x_2, y_2) = (0, 4)\).
Plugging in the values:
\[ m = \frac{4 - 0}{0 - (-8)} \]
This simplifies to:
\[ m = \frac{4}{0 + 8} = \frac{4}{8} = \frac{1}{2} \]
Thus, the slope of the line is \(\frac{1}{2}\).
So the correct response is:
Start Fraction 1 over 2 End Fraction
