Step-by-step explanation:
I'll do the odd problems as examples.
Point-slope form of a line is:
y − y₁ = m (x − x₁)
where m is the slope and (x₁, y₁) is a point on the line.
19. (x₁, y₁) = (6, 3) and m = 5:
y − 3 = 5 (x − 6)
21. (x₁, y₁) = (-4, 2) and m = 0:
y − 2 = 0 (x − (-4))
y − 2 = 0
y = 2
Standard form of a line is:
Ax + By = C
23. y − 7= -3 (x + 1)
y − 7= -3x − 3
3x + y = 4
25. y − 9 = (x + 2)
-x + y = 11
Slope intercept form of a line is:
y = mx + b
27. y − 12 = -2 (x − 3)
y − 12 = -2x + 6
y = -2x + 18
29. y − 4 = 4 (x + 2)
y − 4 = 4x + 8
y = 4x + 12
