Question

what is the equation of the line that passes through point -6,1 and has a slope of -3/2​

Answer 1

Answer:

The equation of a line in

point-slope form

is.

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

∣

∣

∣

2

2

y

−

y

1

=

m

(

x

−

x

1

)

2

2

∣

∣

∣

−−−−−−−−−−−−−−−−−−−−−−

where m represents the slope and

(

x

1

,

y

1

)

a point on the line

here

m

=

2

and

(

x

1

,

y

1

)

=

(

1

,

−

5

)

⇒

y

−

(

−

5

)

=

2

(

x

−

1

)

⇒

y

+

5

=

2

x

−

2

⇒

y

=

2

x

−

7

is the equation