Answer:
y > 3x + 2
Step-by-step explanation:
Find gradient using given points:
m = gradient
Formula:
m = Δy/Δx
m = 9/3 = 3
So, equation of line will be:
y = 3x + a
a is 2 as the point (0, 2) is on the line, 2 units above origin point
The options remaining are:
y > 3x + 2 and y < 3x + 2
Consider any point in the shaded region and compare the y-value of that point with the y-value at the same value of x along the line, e.g. (0, 3) is within the shaded region, the y-value of the line at x = 0 is 2, i.e. the coordinates are (0, 2)
3 > 2 ∴ the correct inequality is y > 3x + 2
