Write the equation for the line.

The correct answer is: y = 4 x+ 3

A linear function is of the form f(x) = mx + b where 'm' and 'b' are real numbers. A linear function represents a line, i.e., its graph is a line. Here,

• 'm' is the slope of the line
• 'b' is the y-intercept of the line
• 'x' is the independent variable
• 'y' (or f(x)) is the dependent variable

Take any points from the scatter plot and find the slope intercept equation
(x1, y1) = (0, 3) and (x₂, y₂) = (-1, -1).
Step 1: Find the slope of the function using the slope formula:
m = (y₂ - y1) / (x₂ - x1) = (-1 - 3) / (-1 - 0) = -4/-1 = 4.
Step 2: Find the equation of linear function using the point slope form.
y - y1 = m (x - x1)
y - 3 = 4 (x - 0)
y - 3 = 4 (x)
y  = 4(x) + 3
Therefore, the equation of the linear function is, y = 4(x) + 3.