Question

please help...
The equation of line GH is y = 4x − 3. Write an equation of a line perpendicular to line GH in slope-intercept form that contains point (2, 3).

a. y = 4x − 3

b.y = −4x − 5

c.11 over 4x − 3

d.y = negative 1 over 4x + 7 over 2

Answer 1

perpendicular lines the product of the slopes is -1
given slope is 4 so the slope of the perpendicular is -1/4
2 points on the line are (x, y) and (2, 3)
option 1
y-3 = -1/4(x - 2)
y = -1/4(x) + 1/2 + 3
y = -1/4 (x) + 3.5
option 2
y = mx + b where m is the slopee
using 2,3
3 = -1/4(2) + b so b = 3.5
for any x,y
y = -1/4(x) + 3.5

Answer 2

option d 3.5 = 7/2