Please help ill give brainleist What is an equation of the line that passes through the point(2,−5) and is parallel to the line 6x+y=66x+y=6?

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

Step-by-step explanation:

The slope-intercept form of the line equation

where m is the slope and b is the y-intercept

Given the equation

Writing in the slope-intercept form of the line equation

comparing with the slope-intercept form of the line equation

y = mx+b

Thus, the slope of line = m = -6

We know that the parallel lines have the same slopes.

Thus, the slope of the parallel line is also -6.

As the line passes through the point (2,−5).

Thus, using the point-slope form of the line equation

where m is the slope and (x₁, x₂) is the point

substituting the values m = -6 and the point (2,−5)

subtract 5 from both sides

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

3201

step-by-step explanation:

c

step-by-step explanation: