Math

[ImagineDragons]

Can someone please show me how to do these? I will do all the work and get the answers, I just need to know how to do these.

1. Find the slope of the line that passes through the
points (-1, 2), (0, 5).

2. Suppose y varies directly with x, and y = 15 and x = 5.
Write a direct variation equation that relates x and y.
What is the value of y when x = 9?

3. Write an equation in slope-intercept form of the line
that passed through (-3, 4) and (1. 4).

4. Use point-slope form to write the equation of a line
that has a slope of 2/3
and passes through (-3, -1).
Write your final equation in slope-intercept form.

5. Write the equation in standard form using integers
(no fractions or decimals): = −2/3 − 1

6. Write an equation of the line that passes through
(2, -1) and is parallel to the graph of y = 5x – 2. Write
your final equation in slope-intercept form.

7. Write an equation of the line that passes through
(3, 5) and is perpendicular to the graph of y = –3x +7.
Write your final equation in slope-intercept form.

8. Sketch a graph y = |x – 3| – 2 and describe the
translations.
Time (Time is on the left)
(in minutes)
(Depth is on the right) Depth
(in cm)
2 47
4 41
6 38
8 37
10 32
12 24
14 20
16 19
18 13
20 8
22 7

9. Emily measured the depth of water in a bathtub at two-minute intervals after the tap was turned off and the
stopper released. The table shows her data.
a) Make a scatter plot for the data.
b) Describe the correlation of the scatter plot.
c) What will the approximate depth be at 15 seconds?

[fiction-factory]

Find the slope of the line that passes through the
points (-1, 2), (0, 5).
For every one you move to the right you go up 3 so the gradient is 3.
So y=3x+c.
Substitute in one set of known values of x and y to give you C

[ImagineDragons]

And do I use that equation on both and get 2 different answers?

[fiction-factory]

For 9 your question is incomplete as you ran out of space so haven't given the table.
Look up what a scatter graph is.
Plot time on x axis and depth on y axis using values from the table
Draw line of best fit.
Is it positive or negative correlation? Strong or weak? Describe the relationship in words.
Use your line of best fit to read off value for 15 seconds (1/4 of a minute)

Are you doing these for someone else?

[fiction-factory]

Actually you just need the slope (I have given that) not the full equation of the line in this case

[fiction-factory]

I'm wondering whether you have had chance to look at these yet to sort out the straightforward ones.
2. Suppose y varies directly with x, and y = 15 and x = 5.
Write a direct variation equation that relates x and y.
What is the value of y when x = 9?
Look at 15 and 5. What is the multiplier that gets you 15 from 5. Then use that

[fiction-factory]

I think that table in Q8 actually belongs to Q9.
Most of these can be tackled using y=mx+c
For 6, parallel lines have the same gradient. For 7 the product of the gradients of perpendicular lines is -1.
I'd go for a cup of coffee then come back in 15 minutes and pick out some of the easier ones so you can polish them off. Then tackle the others.
Using the y=mx+c equation should sort out a few of these

[ImagineDragons]

THANK YOU SO MUCH for taking the time out of your day to help me though, you doing this means a lot.