the true statement about the slope is:
"It is fraction 1 over 4 throughout the line."
Which statement is true about the given line?
On the image, we can see the graph of a linear equation that passes through the origin of the coordinate axis, and that has a positive slope.
First, a triviality, the slope of a line is a constant, this means that the slope between any pair of points that belong to the line will always be the same value.
Now, let's find the slope.
For a linear equation that passes through the points (x₁, y₁) and (x₂, y₂), the slope is:
s = (y₂ - y₁)/(x₂ - x₁)
In this case we can use the two points:
A = (-8, -2)
O = (0, 0)
Then the slope is:
s = (0 - (-2))/(0 - (-8)) = 2/8 = 1/4
Then the true statement about the slope is:
"It is fraction 1 over 4 throughout the line."
If you want to learn more about linear equations:
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