Question

1. Find the slope of the line through the pair of points.
(-1/3,0) and (-1/2,-1/2)
Choices:
-3
1/3
-1/3
3

2. Write in standard form an equation of the line passing through the given point with the given slope.
Slope=8/7; (5,-3)
Choices:
-8/7x+y=-61/7
-8/7x-1=-61/7
-8/7x+y=61/7
8/7x+y=-61/7

Answer 1

You're more likely to get help if you post what you think are the answers.

Answer 2

slope = difference in y values/difference in x values
= (-1/2 - 0)/(-1/2 + 1/3)
= (-1/2) / (-1/6)
= (1/2)(-6) = 3

2. y = (8/7) + b
sub in the given point
-3 = (8/7)(5) + b
multiply by 7
-21 = 40 + 7b
b = -61/7

y = (8/7)x - 61/7 or
(8/7)x - y = 61/7

better form would be
8x - 7y = 61

btw, none of your answers match with
(8/7)x - y = 61/7 which is the answer in the form of the other answers.

I would not consider any of the given answers to be in standard form

Most text books consider "standard" form to be in the form
ax + by = c, where a,b, and c are integers.

Answer 3

My first line of #2 should have been

2. y = (8/7)x + b

Answer 4

yeah, i agree with reiny