Find an equation in slope-intercept form (where possible) for the line.
-After two years on the job, an engineer's salary was $50,000. After seven years on the job, her salary was $66,000. Let y represent her salary after x years on the job. Assuming that the change in her Salary over time can be approximated by a straight line, give an equation for this line in the form y = mx + b.
A)y = 3200x + 43,600
B)y = 16,000x + 18,000
C)y = 3200x + 50,000
D)y = 16,000x + 50,000

Question

Quizplus · Accepted Answer

To find the equation of the line in slope-intercept form (y = mx + b), first calculate the slope (m) using the given points (2, 50000) and (7, 66000). The slope m = (66000 - 50000) / (7 - 2) = 16000 / 5 = 3200. Then, use one of the points to solve for b, the y-intercept. Using the point (2, 50000), 50000 = 3200(2) + b, which simplifies to b = 43600. Therefore, the equation is y = 3200x + 43600.

Find an Equation in Slope-Intercept Form (Where Possible) for the Line