To write the equation of the line in slope intercept form, you would need to solve to find the slope. The slope in this case is 2. We know that because 3-(-1)/5-3= 4/2.
And then to find the y-int we would need to substitute the known values on the equation y=mx+b . Using the point (5,3) we can calculate the intercept. We do 3=2(5)+b. We get that b=-7.
Now in the end the equation in slope intercept form will be y=2x-7
