Question

Help!!
A Line having a slope of 3/4 passes through the point (-8,4). Write the equation of this line in slope-intercept form.

Answer 1

See here you have slope and one point also so use this formula:
\[y = y_1 = m(x - x_1)\]

Answer 2

ok

Answer 3

\[y - y_1 =m(x - x_1)\]

Answer 4

wait i don't get it :(

Answer 5

Here: \(y_1 = 4\) and \(x_1 = -8\)

Answer 6

ok

Answer 7

This is one point slope form:
\[y - (-8) = \frac{3}{4}(x - 4)\]

Answer 8

As slope (m) = 3/4 so I have just plugged in the values in place of x1, y1 and m..

Answer 9

ok :)

Answer 10

So just solve that equation..

Answer 11

omg i'm so lost :(( lol

Answer 12

\[y + 8 = \frac{3}{4}(x - 4) \implies 4(y + 8) = 3(x - 4) \implies 4y + 32 = 3x - 12\]
\[4y = 3x - 12 - 32 \implies 4y = 3x - 44\]

Now divide by 4 and you will have you answer..

Answer 13

how did you get 4?

Answer 14

Where??

Answer 15

y+8=3/4(x-4) to 4(y+8) ? like how did you get it.

Answer 16

Multiply by 4 both the sides...

Answer 17

thank you :)))

Answer 18

You are welcome dear..

Answer 19

:)