Question

Write the slope-intercept equation for the line that passes through (-5, -8) and is perpendicular to 10x – 6y = -11 Please show all of your work

Answer 1

Eep. .
ok. perpendicular means \[m2 = \frac{-1}{m1}\]
so you start with m1 which is in your original equation, then solve for m2 which is the slope for the equation that is perpendicular.

Answer 2

first, find the slope of this
10x – 6y = -11
change to the format of y=m*x + b

so, subtract x from both sides:
– 6y = -11 -10x
then divide whole equation by -6
y = (-11/-6) -(10/-6)x
rearrange it for proper format:
y = -(10/-6)x +(-11/-6)
simplify the - and +:
y = (10/6)x +(11/6)
simplify the fraction:
y = (5/3)x +(11/6)
so, slope m = 5/3 and y intercept b=11/6

ok?

Answer 3

so for your original equation, the slope is m1 = 5/3

to find the perpendicular slope,

\[m2 = \frac{-1}{5/3} = \frac{-3}{5}\]

use this new slope and that point you were given to fine the new equation...
m2=(-3/5)

Answer 4

Point: (-5, -8)
slope: m= -3/5

put into equation format:

(y-y1) = m * (x-x1)
x1 = -5
y1 = -8
m = -3/5

(y-(-8)) = (-3/5) * (x-(-5))

minus a negative is +
y+8 = (-3/5) * (x+5)
multiply through by the -3/5
y+8 = (-3/5) * x + (-3/5) *5
simplify:
y+8 = (-3/5) * x -3
subtract both sides 8:
y = (-3/5) * x -11

therefore,
slope intercept form is
y = (-3/5) * x -11
slope is -3/5
y intercept is -11

Answer 5

ok?

Answer 6

got you

Answer 7

Good luck !

Answer 8

thanks soooooo much

Answer 9

you're welcome ! hope you get a good score and understood well enough!

Answer 10

me too lol