Find the equation of the line that is perpendicular to y = – 1 4 x – 8 and passes though the point (2, –4).

The equation of the line is

Explanation:

The equation of the line is perpendicular to

The equation is of the form where m=-14

Slope:

The slope of the perpendicular line can be determined using the formula,

Thus, the slope of the line is

Equation of the line:

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

Substituting the slope and the point (2,-4), we get,

Simplifying, we get,

Thus, the equation of the line is

42

step-by-step explanation:

256/6=42