Question

I Reaally Need Help If You Wamt Ill Eve Go Over 100 Points

Answer 1

a)
side walk 1
slope = (7-3)/(2-0) = 4/2 = 2

b = 3

slope intercept form
y = 2x + 3

b)
sidewalk 2
slope = (3-5)/(3-1) = -2/2 = -1

point slope form equation
y - 5 = -1(x - 1)

slope intercept form
y - 5 = -1(x - 1)
y - 5 = -x + 1
y = -x + 4 ....slope intercept form

c)
sidewalk1 : y = 2x + 3
sidewalk2: y = -x + 4

2x + 3 = -x + 4
3x = 1
x = 1/3

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

solution x = 1/3 and y = 3 2/3
A system of two linear equations can have one solution so it's consistent and exactly 1 solution so it is independent
d) you can use this from c)
x = 1/3 and y = 3 2/3

Answer 2

(a) y = 2x + 3
(b) (1,5), (3,3); y = 3x + 3 5 = m1 + b, 3 = m3 + b
(c) coincident i believe, because it is not independent or inconsistent
(d) 2x + 3 = 3x + 3
(-2x)(-3) (-2x)(- 3)
0 = -2x
x = 0

hope this helps