What is the slope of the line that passes through the points (-2, 5) and (1, 4)?
The slope is an important concept that is related to geometry. It is defined as the length of the perpendicular divided by the length of the base of a curve in a particular region. Also, it can be calculated by finding the first derivative of the function at a particular point on the curve.
Answer: The slope of the line that passes through the points (-2, 5) and (1, 4) is -1/3.
Let's understand the solution in detail.
We can find the slope of the line by using the slope formula, i.e, slope = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are points given.
Here, (x1, y1) = (1, 4) and (x2, y2) = (-2, 5)
Therefore, substituting the values, we get slope = (5 - 4) / (-2 - 1) = -1/3
We can also find the slope by finding the equation of the line using the given points, and then finding the first derivative (dy/dx) of the equation.