5. Please help. Which equation in slope-intercept form represents a line that is parallel to y=1/2x−2 and passes through the point (−8,1)?

Given:

The given equation of line is

The line passes through the point (-8,1)

We need to determine the equation of the line parallel to the line

Slope:

Since, the lines are parallel, the slope of the line is given by

Hence, the slope is

Equation of the line:

The equation of the line can be determined using the formula,

Substituting the point (-8,1) and the slope in the above formula, we get;

Thus, the equation of the line is

Hence, Option C is the correct answer.