Sheila needs to determine the equation of a line passing through the point (–6, –2) that is perpendicular to y = 2x– 4. which equation best represents sheila's equation?

The line y = 2x - 4 is in slope-intercept form y = mx + b, with m represents the slope. Therefore, the slope of the line is equal to 2.

The line Sheila needs to determine is perpendicular to the line y = 2x - 4. Perpendicular lines has the same slope. So the line Shelia needs to determine has the slope of 2.

plug in the slope of 2 and the point (-6,-2) in slope-intercept form to determine the value of b
y = mx + b
-2 = 2(-6) + b
-2 = -12 + b
-2 + 12 = b
10 = b
The value of b is 10

The equation of the line will be
y = mx + b
y = 2x + 10