Final answer:
The equation y=7.5x + 50 represents a linear equation in slope-intercept form, where 7.5 is the slope and 50 is the y-intercept.
Step-by-step explanation:
The equation y = 7.5x + 50 represents a linear equation in slope-intercept form, where 7.5 is the coefficient of the x-term and represents the slope of the line, and 50 is the y-intercept. This equation can be rewritten as y = mx + b, where m is the slope and b is the y-intercept.
The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x). In this case, for every increase of 1 in the x-value, the y-value increases by 7.5, indicating a positive slope.
The y-intercept is the point where the line intersects the y-axis, which in this case is the point (0, 50). It indicates the initial value of the dependent variable when the independent variable is zero.