Can someone with this math question

We know that one of the point of our line is (5,-1). Since our second point has the same y-intercept as , we are going to solve for x in that line to identify the y-intercept:




Remember that in a line of the form  the intercept is (0,b). From this we can infer that the second point of our line is (0,-2)

Now that we have our two point, we can use the slope formula:  to find the slope of our line:





We can conclude that the slope of our line is , so the correct answer is C.