Use the given conditions to write an equation for the line i

Use the given conditions to write an equation for the line in point-slope form and in slope-intercept form. Passing through (6, -4) and perpendicular to the line whose equation is y = 1/2 x + 5 Write an equation for the line in point-slope form. (Simplify your answer Use integers or fractions for any numbers in the equation.) Write an equation for the line in slope-intercept form. (Simplify your answer Use integers or fractions for any numbers in the equation.)

Solution

As our line is perpendicular to given line, y=1/2x + 5

So slope of our line is, m=-1/(1/2) =-2

And it passes through (6,-4),

So, point slope form is

y-(-4) = -2(x-6)

Simplify it further, we get

y+4= -2x+12

y= -2x+8

Which is slope intercept form.