What is the equation of a line that contains the points (0, 8) and (8, 8)?
y = 0
x = 0
x = 8
y = 8

The equation of the line is y = 8 ⇒ last answer

Step-by-step explanation:

- The form of the equation of a line is:

→ y = mx + c, where m is the slope of the line and c is the y-intercept

- The line is horizontal when the y-coordinates of all points lie on it

have the same value

- Ex: the line passing through point (a , b) and (c , b) is horizontal

because the y-coordinates of the two points have the same value b

and the equation of the line is y = b

- The line is vertical when the x-coordinates of all points lie on it

have the same value

- Ex: the line passing through point (a , b) and (a , c) is vertical

because the x-coordinates of the two points have the same value a

and the equation of the line is x = a

* Now lets solve the problem

- The line passes through points (0 , 8) and (8 , 8)

∵ The y-coordinates of the two points have the same value 8

∴ The line is horizontal

∴ The equation of the line is y = 8

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .

none.

step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

find the slope and y-intercept of the second equation.

tap for more

m

2

=

0

m2=0

b

=

−

6

b=-6

compare the slopes

m

m of the two equations.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m

1

=

5

,

m

2

=

0

m1=5,m2=0