2. Two sidewalks in a park are represented by lines on a coordinate grid. Two points on each of the lines are shown in the tables. Sidewalk 1
x y
2 5
0 1
Sidewalk 2
x y
1 3
3 -3
(a) Write the equation for Sidewalk 1 in slope-intercept form.
(b) Write the equation for Sidewalk 2 in point-slope form and then convert to slope-intercept form.
(c) Is the system of equations consistent independent, coincident, or inconsistent? Explain.
a. Note: Review 2.11 Strange Solutions and 5.04 Classifying Systems if you’re not sure where to start.
(d) Use the substitution or elimination method to solve your system, and explain which one you picked. If the two sidewalks intersect, what are the coordinates of the point of intersection?

step-by-step explanation:

no of data

divide by no of mode

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)