Final answer:
To find the equation of the line with a slope of 2 and a y-intercept of -4, we use the slope-intercept form y = mx + b, resulting in y = 2x - 4.
Step-by-step explanation:
The equation of a line can be expressed using the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. Given that the slope (m) is 2 and the y-intercept (b) is -4, we can substitute these values into the slope-intercept form to get the equation of the line: y = 2x - 4.
It's important to note that regardless of the notation used (whether it's y = a + bx or y = mx + b), the coefficient of x represents the slope and the constant term represents the y-intercept. This is consistent throughout different representations and applications, including cases like the line of best fit or calculations involving physics where the graph is representing different variables such as velocity and time.