Question

Write an equation of a line perpendicular to y = 1/4 x + 4 in slope-intercept form that passes through the point (-2, 6).

Answer 1

perpendicular gradient * line gradient = -1
Find the perpendicular line gradient using the above formula and then use the coordinate to find the value of constant

Answer 2

You have the perpendicular line ONLY to get the slope. The given line's slope is 1/4. What is the slope of your line perpendicular to it?

Answer 3

-0.25?

Answer 4

perpendicular gradient * 1/4=-1
perpendicular gradient= -4

Answer 5

Oh ok that makes sense

Answer 6

so the answer is -4

Answer 7

the gradient is -4 now work out the constant

Answer 8

Its D? :D

Answer 9

@FaiqRaees

Answer 10

I'm confused :(

Answer 11

Basically when you want to find the perpendicular of the equation you would flip the numbers.....

\(\Large{y~=1/4x~+~4}\)
\(\LARGE{~~~~~~~~~|~~~~~~~~~|}\)
\(\Large\color{#800000}{~~~~~-4x~~~~~~~1/4}\)
\(\Large{~~~~~~~~~~~\~~~~~~~~/}\)
\(\Large\color{#1766b5}{~~~~~~~~~~Flipped!}\)

Answer 12

Oh Okkk :) I got it :)

Answer 13

So the new equation would infact be...

\(\LARGE\color{#1766b5}{y~=~-4x~+~1/4}\)

Answer 14

\(\LARGE{Awesome!~Great Job!}\)

Answer 15

:))) Thankss Enjoy the medal :D