Find the slope of the line given its graph. (1 point) Responses 1 1 8 8 18 Start Fraction 1 over 8 End Fraction −18
A. 1
B. 8
C. 1/8
D. -1/8
C. 1/8
To find the slope of the line given its graph, we need to use the formula for slope:
slope = (change in y)/(change in x)
Looking at the given points (1, 1) and (8, 18), we can calculate the change in y and change in x:
Change in y = 18 - 1 = 17
Change in x = 8 - 1 = 7
Now we can substitute the values into the slope formula:
slope = (change in y)/(change in x) = 17/7
So, the slope of the line is 17/7. However, none of the given answer choices matches this value.
To find the slope of a line, you need to determine the change in the y-coordinates (vertical change) divided by the change in the x-coordinates (horizontal change) between any two points on the line.
In this case, we are given two points: (1, 8) and (18, -18). Let's call these points (x₁, y₁) and (x₂, y₂) respectively.
The change in the y-coordinates is: y₂ - y₁ = -18 - 8 = -26
The change in the x-coordinates is: x₂ - x₁ = 18 - 1 = 17
Now, we can find the slope using the formula:
slope = (change in y-coordinates) / (change in x-coordinates)
slope = (-26) / (17)
Simplifying the fraction, we get:
slope = -26/17
So, the slope of the line is -26/17.
Therefore, the correct answer is not provided in the given options.