1. Use slope intercept, y=mx+b where m =2 and b=3. y=2x+3
2. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.
(y-5)=-2(x--3)
y-5=-2(x+3)
y=-2x-6+5
y=-2x-1
3. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form. The slope is 3/5 since parallel lines have the same slope.
(y-3)=3/5(x-0)
y-3=3/5 x
y=3/5 x +3
4. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form. The slope is 1/2 since perpendicular lines have the negative reciprocal slopes. So -2 becomes 1/2.