Could someone please check my work.

what is the slope of the line that passes through the given points?(2,12( and (6,11)
-1/4 (my choice)
1/4
4
-4
My work:
11-12/6-2=-1/4

what is the slope of the line that passes through the given points?

undefined( my choice)
0
-2/3
-3/2
My work;
-1-(-1)/-3-6=0/9

Write an equation in slope-intercept form what are the slope and y-intercept?
y=9/10x+9/10;slope;9/10;yintercept;9/10
y=9/10x-9/10;slope;9/10;y-intercept;9/10
y=-9/10x+9/10;slope;9/10;yintercept;9/10
y=9/10x-9/10;slope9/10;y-intercept;-9/10

This one I definitely need help with.

First question is correct

for the second, you don't state the points but from "My work", I am guessing the points were
(-3,-1) and (6,-1)

so the slope is (-1 + 1)/(6 + 3) = 0/9 = 0 , not undefined

for the last one: corrections in bold

y=9/10x+9/10;slope;9/10;yintercept;9/10
y=9/10x-9/10;slope;9/10;y-intercept;-9/10
y=-9/10x+9/10;slope;-9/10;yintercept;9/10
y=9/10x-9/10;slope9/10;y-intercept;-9/10

To check your work, let's go through each question one by one:

1. The slope of the line that passes through the given points (2, 12) and (6, 11) is correct. Your calculation of (11-12)/(6-2) simplifies to -1/4, which matches the slope you chose.

2. The question asks for the slope of the line that passes through the given points, but your answer "undefined" is incorrect. To find the slope, you need to use the formula: slope = (y2-y1)/(x2-x1). So, using the points (-1, -1) and (-3, 6), the slope would be (6-(-1))/(-3-(-1)) = 7/2, which is not one of the options given.

3. To write an equation in slope-intercept form (y = mx + b), we need the slope (m) and the y-intercept (b). In your attempt, you correctly identified the slope as 9/10 (y = 9/10x). However, your answer for the y-intercept is incorrect. To find the y-intercept, we can use one of the given points (let's use (0, 9/10)), and substitute it into the slope-intercept form equation: 9/10 = (9/10)(0) + b. Solving for b, we get b = 9/10. Therefore, the correct equation in slope-intercept form should be: y = 9/10x + 9/10.

So, to summarize:

1. The slope of the line that passes through (2, 12) and (6, 11) is -1/4 (correct).
2. The slope of the line that passes through (-1, -1) and (-3, 6) is 7/2 (not undefined).
3. The equation in slope-intercept form with a slope of 9/10 and a y-intercept of 9/10 is y = 9/10x + 9/10.