A 2-column table with 4 rows. Column 1 is labeled x with entries 5, 3, negative 1, negative 2. Column 2 is labeled y with entries 6, 2, negative 6, negative 8. On a coordinate plane, a line goes through points (negative 2, 4) and (0, negative 4).
Linear functions are expressed by data in a table and by a graph. Select all that apply.
The slope is the same for both functions.
The function expressed in the graph has a steeper slope than the function in the table.
The y-intercept is the same for both functions.
The table and the graph express an equivalent function.

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step-by-step explanation:

what is the question here

step-by-step explanation:

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 .

many reason,

step-by-step explanation: