math
posted by elizabeth .
Give the slope and yintercept of the given line.
1.2x3y=6
2. y=2x
3. y=3
4. x+2=0
Find the slope of the line that is a) parallel and b) perpendicular to the given line.
1. x=8
2. y=10

1.
2 x  3 y = 6
 3 y = 6  2 x Divide both sides by  3
y = 6 /  3  2 x /  3
y =  2 + 2 x / 3
y = ( 2 / 3 ) x  2
Slope 2 / 3
y  intercept
2 * 0  3 y = 6
 3 y = 6 Divide both sides by  3
y = 6 /  3 =  2
2.
y =  2 x
Slope  2
y  intercept
y =  2 * 0 = 0
3.
y = 3
y = 3 for all value of x
This line is parallel with x axis
Slope = tan 180 ° = 0
y  intercept :
y = 3
4.
x + 2 = 0
x =  2
x =  2 for all value of y
This line is parallel with y axis
Slope = tan 90 ° = infinity
y  intercept not exist
1.
x =  8
x =  8 for all value of y
This line is parallel with y axis
Slope = tan 90 ° = infinity
a)
Parallel line slope = tan 90 ° = infinity
b)
Normal line slope = tan ( 90 °  90 ° ) = tan 0 = 0
2.
y = 10
y = 10 for all value of x
This line is parallel with x axis
Slope = tan 180 ° = 0
a)
Parallel line slope = tan 180 ° = 0
b)
Normal line slope = tan ( 180 °  90 ° ) = tan 90 ° = infinity