What is the slope of the line represented by the equation y = –x + 7?
The slope is one of the most important concepts related to geometry. The slope of a line is nothing but the change in y coordinate with respect to the change in x coordinate of that line. Let's solve a problem related to this concept.
Answer: The slope of the line represented by the equation y = –x + 7 is -1.
Let's understand how did we find the slope of the given equation.
We know that the slope is nothing but the first derivative of the given function at a particular point. In the case of straight lines, the slope is constant.
Therefore, we differentiate the given equation to find dy/dx.
⇒ dy/dx = -1 + 0
⇒ dy/dx = -1
Hence, we find the slope to be -1.
Another method to find the slope is to find two random points on the straight line and then using the slope formula (y2 - y1 / x2 - x1) we find the slope of the line.