PLEASE HELP. WILL GIVE BRAINIEST AND 60 POINTS if you show work so I can understand 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

now they could not be reffering to their difference in addition, but their difference in multiplication. In that case, y is 3 times x in the example, so it will always be 3 times x

y=3x is your equation

when x=9, y=27

3) the slope of this line is determined by change in y over change in x:

change in y: 4-4=0

you don't need to calculate the change in x because 0 divided by anything is 0, so that is your slope.

y=0x+b

4=0(1)+b

4=0+b

4=b

y=4 is your equation because 0 times x is zero. this means that it is a horizontal line with a constant y value of 4

4)

y - value of y in a point =slope (x - value of x in a point)

y-(-1)=2/3 * (x-(-3))

y+1=2/3x+2/3(3)

y+1= 2/3x+2

y=2/3x+1

from solving point slope form, you can get to slope intercept form

5) not sure what this question is asking for

- a line?

- an expression equivalent to -1 and 2/3?

both of those aren't possible with the information given

6) parallel means same slope different y intercept

y=5x+b

-1=5(2)+b

-1=10+b

-11=b

y=5x-11