Question

Write an equation in slope-intercept form for the line passing through (–1, 10) and (5, 8).

Answer 1

do u know how to find the slope ?

Answer 2

\[slope = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1}}\]

Answer 3

is the slope -1/3?

Answer 4

\[slope = \frac{ 8 -10 }{ 5 - (-1) } = \frac{ -2 }{ 6 } = \frac{ -1 }{ 3 }\]

Answer 5

okay. how do i find the Y intercept?

Answer 6

now the slope intercept form is given by
y= mx + b
where
m is the slope and
b is the intercept

so.. since u now know the slope u can write it as
y = (-1/3)x + b
now to find b
u can use the pair of coordinates ( 5 , 8)
in (5 , 8)
x = 5 and y = 8
if u plug them in to the equation

y= (-1/3)x + b
8 = (-1/3)5 + b
b = 29/3
so... the equation of the line in slope intercept form is
y = (-1/3)x + 29/3

got it ;) ?

Answer 7

yes! thank you sooo much :)

Answer 8

u r welcome!