Identify the equation in slope-intercept form for the line containing the point (2,4) and perpendicular to y=1/2x+1/2.

Answer 1

4 = -2(2) + b

4 = -4 + b

b = 4 + 4 = 8

y = -2x + 8

Answer 2

y-4 = -2(x-2) in point slope form

y-4 =-2x +4

y=-2x+4+4

y= -2x +8 in intercept form, -2 = slope, 8 = y intercept

slope of a perpendicular line is the negative inverse. -2 is the negative inverse of 1/2

the slope = the coefficeint of the x term when the linear equation is solved for y