Slope-intercept form:
y = mx + b
"m" is the slope, "b" is the y-intercept (the y value when x = 0) or (0,y)
For lines to be parallel, they have to have the SAME slope.
For lines to be perpendicular, their slopes have to be the opposite/negative reciprocals (flipped sign and number)
For example:
slope is 2
perpendicular line's slope is -1/2
slope is -2/3
perpendicular line's slope is 3/2
9.) First find the slope of line PQ. Use the slope formula and plug in the two points.
P = (4, 1) (x₁ , y₁)
Q = (8, 4) (x₂ , y₂)



Line RS is parallel to line PQ, so they have the same slope of 3/4

To find "b", plug in the point R = (3, -2) into the equation


Subtract 9/4 on both sides
Make the denominators the same



10.) Find the slope of line PQ


Line RS is perpendicular to line PQ, so the slope of line RS is -4/3
y = -4/3x + b
Plug in the point R = (3, -2) into the equation to find "b"
y = -4/3x + b
-2 = -4/3(3) + b
-2 = -4 + b Add 4 on both sides
2 = b

Answer:
a) 50
b) 400
c) 8
d) 200
Step-by-step explanation:
a) 5 divided 0.1

b) 8 divided 0.02

c) 2.4 divided 0.3

d) 32 divided 0.16

Answer: C
Step-by-step explanation:
Option B:
The equation of a line is
.
Solution:
Given data:
Line passing through the point (4, 12).
y-intercept of the line = –2
The equation of a line in slope-intercept form is
y = mx + c
where m is the slope and c is the y-intercept.
c = –2
Substitute c = –2 in slope-intercept form.
y = mx – 2 – – – – (1)
To find m, substitute (4, 12) in the above equation.
12 = m(4) – 2
12 = 4m – 2
Add 2 on both sides of the equation.
14 = 4m
Divide by 2 on both sides of the equation.


Slope = 
Substitute m value in equation (1), we get

The equation of a line is
.
Hence Option B is the correct answer.