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 4 comma 7 right parenthesis, left parenthesis 4 comma 8 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
−1/8
negative Start Fraction 1 over 8 End Fraction
1
1
1/8
Start Fraction 1 over 8 End Fraction
8
1 answer
To find the slope of the line given the two points \((-4, 7)\) and \((4, 8)\), we can use the slope formula:
\[ \text{slope} = m = \frac{y_2 - y_1}{x_2 - x_1} \]
where \((x_1, y_1) = (-4, 7)\) and \((x_2, y_2) = (4, 8)\).
Now, substituting the coordinates into the formula:
\[ m = \frac{8 - 7}{4 - (-4)} = \frac{1}{4 + 4} = \frac{1}{8} \]
Thus, the slope of the line is \(\frac{1}{8}\).
The correct response is:
1/8
