For #1:
y = x + 4
Parallel lines have the SAME slope, this equation is in the form of y = mx + b, where 'm' is the slope. So the slope here is 1.
To find the equation of a line that passes through (2, 2) and has a slope of 1, we can plug it into point-slope form:
y - y1 = m(x - x1)
Where 'y1' is the y-value of the point, 'x1' is the x-value of the point, and 'm' is the slope.
y - 2 = 1(x - 2)
Distribute 1 into the parenthesis:
y - 2 = x - 2
Add 2 to both sides:
y = x
So your equation is y = x.
Answer:
three consecutive odd integers: 2n-1 2n+1 2n+3
that the sum of the smaller two is three
times larger increased by seven: 2n-1 + 2n+1 = 3(2n+3) +7
4n = 6n+ 9 +7
4n = 6n+ 16
4n -6n = 16
-2n = 16
n = 16/(-2)
n=-8
a) 2n -1 = 2(-8) -1 = -17
b) 2n+1 = 2(-8)+1 = -15
c) 2n+1 = 2(-8)+3 = -13
Ans. -17 ; -15 ; -13
9514 1404 393
Answer:
(a) 2
Step-by-step explanation:
Each inch is 2.54 cm, so 5.08 cm is ...
x / (5.08 cm) = (1 in) / (2.54 cm)
x = (1 in)(5.08/2.54) = (1 in)(2)
x = 2 in
5.08 cm equals 2 inches.
Answer:

Step-by-step explanation:

Factor both the numerator and denominator

The
's cancel out
The equation in its simplest form is 
Hope this helps!