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
8
8
18
Start Fraction 1 over 8 End Fraction
1
1
−18
negative Start Fraction 1 over 8 End Fraction
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1 answer
To find the slope of the line between the points \((-4, 7)\) and \( (4, 8)\), we use the formula for 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, substitute the values into the formula:
\[ m = \frac{8 - 7}{4 - (-4)} = \frac{1}{4 + 4} = \frac{1}{8} \]
So, the slope of the line is:
\[ \frac{1}{8} \]
The correct response is:
Start Fraction 1 over 8 End Fraction
