The correct answer is the third option:
Y = 5x - 2
In the slope-intercept form, y = mx + b:
m = slope (steepness of the line; the rate of change)
b = y-intercept (the point on the graph where the line crosses the y-axis, and has coordinates of (0, b)).
Given these definitions:
Since your slope = 5
and the y-intercept has coordinates of (0, -2), the -2 represents the “b” in the slope-intercept form.
Therefore, the linear equation is y = 5x - 2.