Equations in slope-intercept form follow a certain format.
y= mx+ b
In this form, m represents the slope of the line and b is the y-intercept. We know that the value of the slope is 5. We also know that the line passes through the point (0, - 2). Therefore, m= 5 and b= - 2. Let's substitute these values into the above formula.
y= 5x+( - 2) ⇔ y=5x-2
The correct choice is B.