Write the slope intercept form for the equation of the line through points (-4, 1)

Question

Write the slope-intercept form of the equation of the line through a point (- 4, 1) and perpendicular to the line y = - 1/2 * x - 2

Answer 1

y=2x + b, solve for b by plugging in the point (-4,1)

1 = 2(-4) + b, slope is the negative inverse of -1/2 for a perpendicular line

b =1+8 = 9

y=2x +9 is the perpendicular line through (-4,1)

1=2(-4)+9 =-8+9 = 1