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

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: