Answer:
y = (0.5)x + (3)
Step-by-step explanation:
To find the equation of the line, we need to calculate the slope and the y-intercept. To calculate the slope of the line, we need to pick any two points and use the formula Rise/Run. To calculate the y-intercept, look for the intersection point of the line on the y-axis. That point is your y-intercept.
Finding the slope of the line:
My chosen points: (2, -2) and (0, 3)
⇒ (Slope) = (Rise/Run) = (Rise = 1; Run = 2) = (1/2) = (0.5)
Finding the y-intercept of the line:
The intersection of the line on the y-axis is (0, 3).
Thus, 3 is the y-intercept.
Creating the equation of the line:
The equation of the line is y = mx + b
[Where m is the slope and b is the y-intercept.]
⇒ y = (m)x + (b)
⇒ y = (0.5)x + (3) [Slope = 0.5; y-intercept = 3]
