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
2
2
12
Start Fraction 1 over 2 End Fraction
−12
negative Start Fraction 1 over 2 End Fraction
4
4
Skip to navigation
1 answer
To find the slope of the line passing through the two points \((-8, 0)\) and \((0, 4)\), we can use the slope formula:
\[ \text{slope} (m) = \frac{y_2 - y_1}{x_2 - x_1} \]
Where:
Substituting the coordinates into the formula:
\[ m = \frac{4 - 0}{0 - (-8)} = \frac{4}{0 + 8} = \frac{4}{8} = \frac{1}{2} \]
Thus, the slope of the line is:
\[ \frac{1}{2} \]
The correct response is:
Start Fraction 1 over 2 End Fraction.
