Slope intercept form

Question

Write an equation in slope-intercept form for the line perpendicular to y = -4x + 1 that passes through the point (-7,1)

Answer 1

The perpendicular line MUST have slope 1/4

B = y - mx = 1 - (1/4)(-7)

= 1 - (-7/4)

= 1 + 7/4

= 4/4 + 7/4

= 11/4

y = (1/4)x + 11/4