What is an equation of the line that passes through the point (3,-1) and has a slope of 2?

First, we know that it's a line so its equation must be y=ax + b in which a represents the slope, b the origin, x and y the coordinates of a point.

We know that the slope is 2 (so a = 2) and that this line passes through the point  A (3, -1) so x = 3 and y = -1. We need to find b.

y = ax + b

-1 = 2*3 + b

-1 = 6 + b

b = -7.

So the equation of this line is: y = 2x - 7

The equation of this line would be:    

y=2x-7

The two equations are identical, thus there are infinite number of solutions

Step-by-step explanation: