Question

The y-intercept is -150. The rate of change is 0.50. What’s the linear equation?

Answer 1

Answer: y = 0.5x - 150

Reason: The equation is of the form y = mx+b

m = slope = rate of change = 0.5

b = y intercept = -150

The rate of change tells us how fast or slow the function is changing. A larger slope means a steeper line. The y intercept is a good starting point to anchor around. Once you know that anchor, use the slope to find another point on the line. You only need 2 points to plot the line.

The decimal 0.5 is the same as the fraction 1/2.

A slope of 1/2 means "go up 1, then right 2".

So if you started at (0,-150) then another point on the line is (2,-149).

Answer 2

The linear equation is y = 0.50x - 150.

Step-by-step explanation:

The linear equation can be written as y = 0.50x - 150.

The given information tells us that the y-intercept is -150, which means the line passes through the point (0, -150). The rate of change, or slope, is 0.50, indicating that for every 1 unit increase in x, y increases by 0.50 units.

Therefore, the linear equation representing this situation is y = 0.50x - 150.