Question

what is the slope-intercept form of the equation y-7= -5/2(x+4)?

Answer 1

please help

Answer 2

@ganeshie8

Answer 3

slope intercept form :
\[\large y = mx + b\]

Answer 4

you just need to rearragne the given equation

Answer 5

ok can u show me how

Answer 6

\[ \large y-7= -\dfrac{5}{2}(x+4)\]

Answer 7

start by distributing -5/2 on right hand side

Answer 8

ok

Answer 9

you get :

\[ \large y-7= -\dfrac{5}{2}*x- \dfrac{5}{2}*4\]

\[ \large y-7= -\dfrac{5}{2}x- 10\]

Answer 10

next, add 7 to both sides
what do you get ?

Answer 11

what do you mean add to add 7 to both sides

Answer 12

\[ \large y-7\color{red}{+7}= -\dfrac{5}{2}x- 10\color{Red}{+7}\]

Answer 13

ok

Answer 14

simplify

Answer 15

-7+7 = ?

Answer 16

0

Answer 17

so you get :
\[ \large y= -\dfrac{5}{2}x- 10\color{Red}{+7}\]

Answer 18

whats the value of -10+7 ?

Answer 19

-3

Answer 20

good, you're done. the slope intercept form is
\[ \large y= -\dfrac{5}{2}x-3\]

Answer 21

so the awnser is d

Answer 22

thx