What is an equation of the line that passes through the point (2,−5) and is parallel to the line 6x+y=6

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

Rewrite this in slope-intercept form (to help us find the slope)

Subtract 6x from both sides

Now, we can identify clearly that the slope of this line is -6. Because parallel lines always have the same slopes, -6 will therefore be the slope of the line we're solving for. Plug this into :

2) Determine the y-intercept (b)

Plug in the given point (2,−5) and isolate b

Add 12 to both sides

Therefore, the y-intercept is 7. Plug this back into :

I hope this helps!

2(2x + 3) = -4 + 2(2x + 5)

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 6

4x - 6 + 6 = 4x - 6 + 6

4x = 4x

x = x

unlimited solutions.

step-by-step explanation: