Slope is defined as the rate of change of a linear equation. It is the factor by which the value of the function increases or decreases as the input changes.
Often, you see lines in slope-intercept form. This easily shows the slope and intercept of the function, hence the name. The equation is as follows:
In this form, m is the slope and b is the y-intercept.
So in y = x - 7, the input variable, x, is understood to have a coefficient of 1, so the slope of line a is 1.
In line b, we need to solve for the slope algebraically. The slope formula is:
Given two points on line b, we can solve for slope. Let's use (1, 6) and (2, 7).
So, the slope of line b is 1. Therefore, the slope of line a is equal to the slope of line b.