Write an equation in slope - intercept form for the line that satisfies each set of conditions. answers only 24. slope 0.25, passes through (0,4) 26. slope 3/2, passes through (-5,1) 28. slope 4, passes through the origin 30. passes through (7,1) and (7,8) 32. passes through (-2,-3) and (0,0) 34. x - intercept = 1/3, y - intercept = - 1/4

24.) y = mx + b

slope (m) = 0.25

(0,4) ... x = 0 and y = 4

now we sub and find b, the y int

4 = 0.25 (0) + b

4 = b

so ur equation is : y = 0.25x + 4

26.) y = mx + b

slope (m) = 3/2

(-5,1) ... x = - 5 and y = 1

sub and find b, the y int

1 = 3/2 (-5) + b

1 = - 15/2 + b

1 + 15/2 = b

2/2 + 15/2 = b

17/2 = b

ur equation is : y = 3/2x + 17/2

28.) y = mx + b

slope (m) = 4

(0,0) ... x = 0 and y = 0

time to sub

0 - 4 (0) + b

0 = b

so ur equation is : y = 4x + 0 ... or just y = 4x

30.) (7,1) (7,8) ... notice how the x's are the exact same number ... this

means that ur line is a vertical line with a slope that is undefined.

ur equation is : x = 7

32.) (-2,-3) (0,0)

slope = (0 - (-3) / (0 - (-2) = (0 + 3) / (0 + 2) = 3/2

y = mx + b

slope (m) = 3/2

(0,0) ... x = 0 and y = 0

sub

0 = 3/2 (0) + b

0 = b

ur equation is : y = 3/2x + 0 or just y = 3/2x

34.) (1/3,0) (0,-1/4)

slope = (-1/4 - 0) / (0 - 1/3) = (-1/4) / (-1/3) = - 1/4 * - 3 = 3/4

y = mx + b

slope (m) = 3/4

(0,-1/4) ... x = 0 and y = - 1/4

sub

-1/4 = 3/4 (0) + b

-1/4 = b

so ur equation is : y = 3/4x - 1/4