Find the value of K so that the line through (2,K) and (-2,5) is

Question

perpendicular to the line y=1/4x-3.?

Answer 1

The line equation is .

The slope intercept form of line equation is .

Where    is the slope of the line and  is the  -intercept of the line equation.

Compare the line equation with slope intercept form of line equation.

Therefore, the slope of the line equation is .

The line passing through the two points  and .

Slope of the line passing through the points  and  is .

The slope of the line passing through the points  and  is  .

The line passing through the points  and  is perpendicular to the line .

If the two lines are perpendicular then their slopes are negative reciprocals to each other.

Therefore, the value of  is .