The slope of the line that passes through the points (-2,5) and (1,4) is -1/3.
The slope of a line can be defined as the measure of the steepness of that particular line. If we were to define it mathematically, we would define it as the change in y-intercepts divided by the change in x-intercepts.
We know that the formula for finding the slope of a line is -
= m = y₂-y₁/x₂-x₁ (i)
The given values are = x₁ = -2 ; x₂= 1 ; y₁= 5 ; y₂= 4
We use the given values and (i) to find -
= m = 4-5 / 1-(-2)
= m = -1/3
Hence, the slope of this line is -1/3.
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