Let m=-2, and let (x1,y1) be (5,3). So x1=5 and y1=3
Using the point-slope formula, we have
y-y1=m(x-x1)
Plugging the values in, we have
y-3=-2(x-5)
Using distributive property, we can say
y-3=-2x+10
Adding 3 to both sides we get
y=-2x+13
So the equation in slope-intercept form is
y=-2x+13.
Hope this helps!