How is the rate of change in real-world linear relationship related to the slope-intercept form of the equation that represents the relationship

Question

Real world linear in relation to slope  intercept form

Answer 1

The rate of change is the slope, which is calculated by taking two point on the line and dividing the difference in the horizontal coordinate into the difference in the vertical coordinate.

So if the points are (x1, y1) and (x2, y2) the slope is (y2-y1)/(x2-x1). The slope can be positive or negative, which is the “lean” of the line to the right (positive) or to the left (negative).