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

1) use change in y/change in x to find the slope from two points:

change in y: 5-2=3

change in x: 0-(-1)=1

3/1=3 is your slope

2) if it is a direct variation, you know as x increases, y increases, both at constant rates

since y is 10 more than x in the example, it will always be 10 more than x

y=x+10 is your equation.

when x=9, y=19

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

1/3 + 1/3 ≠ 2/6 because 1/3 alone = 2/6  

step by step explanation:

1/3 + 1/3 = 2/3       2/3=4/6