The slope of the line that passes through the points (–20, 18) and (30, 14) is - 2/25. Hence, 4th option is the right choice.
What is the slope of a line?
The slope of a line is the tangent to the angle that the line makes with the positive side of the x-axis.
How to calculate the slope of a line when two points on the line are given?
The slope of a line (m) passing through the points (x₁, y₁) and (x₂, y₂) is given by the formula m = (y₂ - y₁)/(x₂ - x₁).
How to solve the given question?
In the question, we are asked to find the slope of a line passing through the points (-20, 18) and (30, 14).
Using the formula of the slope of a line,
m = (y₂ - y₁)/(x₂ - x₁)
We get, slope m = (14 - 18)/(30 - (-20)) = (-4)/50 = - 2/25.
Therefore, the slope of the line that passes through the points (–20, 18) and (30, 14) is - 2/25. Hence, 4th option is the right choice.
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