Hi
Using the point-slope formula,

1) What is the equation of the line whose y-intercept is 3 and slope is 1
y = x + 3
2) What is the slope of a line parallel to the line whose equation is y - x = 5
y-x=5 Or y = x+5 |slope of these parallel lines is m = 1
3)What is the equation of a line that passes through points (-1, 2) and (5, 2)?
(-1, 2) and
(5, 2) m = 0 y = 2 OR y-2 = 0
4)What is the equation of a line with a slope of -2 and a y-intercept of 8?
y = -2x + 8 OR 2x+ y -8 = 0
5)What is the equation of the line that passes through the point (1, 1)
and has a y-intercept of 2, thus Pt(0,2)
(1,1)
(0,2) m = -1
y = -x + b |using ordered pair Pt(0,2) to solve for b
2 = b
y = -x + 2