Question

Write the equation for the linear function that goes through –3 on the y-axis and has a slope of 0.5.

y= ????

Answer 1

Answer: y =
`(1)/(2) x` - 3

Explanation:

1. The equation for a line is in the form y = mx + b, where "m" is the slope and "b" is the y-intercept.
2. Since the slope is 0.5 (which is
   `(1)/(2)`), we can plug that value in for "m": y =
   `(1)/(2) x` + b
3. Since the line goes through -3 on the y-axis, that is the y-intercept. So, we can just plug in that value for "b": y =
   `(1)/(2) x` - 3
4. And there's your answer: y =
   `(1)/(2) x`-3