Question

A line is drawn through (-7, 11) and (8, -9). The equation y−11=4(x+7) is written to represent the line. Which equations also represent the line? Check all that apply. 1. For parentheses: Distribute y−11=4x+28 2. If necessary, Combine Terms 4x+y=17 4x+3y=5 0−4x+3y=17 3. Apply properties: Add Subtract Multiply Divide To start over: Reset

Answer 1

The equation representing the line is y = 4x + 39. The correct options that also represent the line are Option 1 and Option 2.

Let's go step by step to see which equations represent the line:

Start with the given equation: y - 11 = 4(x + 7)

Distribute 4 to the terms inside the parentheses: y - 11 = 4x + 28

If necessary, combine like terms: y = 4x + 39

So, the equation representing the line is: y = 4x + 39

Now, let's check each option:

Option 1: Distribute - y - 11 = 4x + 28

Option 2: Combine Terms - 4x + y = 17

Option 3: Apply properties (Add, Subtract, Multiply, Divide) - -4x + 3y = 17

So, the correct options are Option 1 and Option 2.