write the equation of a line in slope intercept form that is perpendicular to the line y = –4x and passes through the point (2,

Question

steposvetlana [31]

3 years ago

6

write the equation of a line in slope intercept form that is perpendicular to the line y = –4x and passes through the point (2,

6).

Mathematics

1 answer:

Neko [114] · Answer 1 · 2022-06-09T17:35:36+03:00

Neko [114]3 years ago

5 0

For perpendicular lines, m1m2 = -1 or m2 = -1/m1
Line y = -4x has a slope of -4, hence, required slope is -1/-4 = 1/4
Required equation is y - 6 = 1/4(x - 2)
y - 6 = 1/4x - 1/2
y = 1/4x - 1/2 + 6
y = 1/4x + 11/2