Answer:
Step-by-step explanation:
The first step is to determine the equation of the line. The equation of a line in the slope intercept form is expressed as
y = mx + c
m represents slope
c represents the y intercept
We would calculate the slope of the line by applying the formula,
m = (y2 - y1)/(x2 - x1)
where
y1 and y2 are the y coordinates of selected initial and final points on the line.
x1 and x2 are the x coordinates of the selected initial and final points on the line.
By picking suitable points on the line, we have
x1 = - 2, y1 = 0
x2 = 0, y2 = 4
m = (4 - 0)/(0 - - 2) = 4/(0 + 2) = 4/2 = 2
The y intercept, c is the point on the y axis where the line passes through. Thus, c = 4
Substituting m = 2 and c = 4 into the slope intercept equation, the equation of the line is
y = 2x + 4
The shaded portion of the graph is above the line. This indicates that the values that satisfy the inequality are above the and this shows greater than. Since the line is dashed, it means that the values on the lie area not included. The inequality would be >
Thus, the inequality representing the graph is
y > 2x + 4