What is the y-intercept of a line that passes through (-3,3) and (1,-5)

The point-slope formula states:

(

y

−

y

1

)

=

m

(

x

−

x

1

)

Where

m

is the slope and

(

x

1

y

1

)

is a point the line passes through.

Substituting the slope and values from the point in the problem gives:

(

y

−

−

1

)

=

3

5

(

x

−

−

3

)

(

y

+

1

)

=

3

5

(

x

+

3

)

If you want the equation in the somewhat more familiar slope-intercept form we can solve this equation for

y

. The slope-intercept form of a linear equation is:

y

=

m

x

+

b

Where

m

is the slope and

b

is the y-intercept value.

y

+

1

=

(

3

5

⋅

x

)

+

(

3

5

⋅

3

)

y

+

1

=

3

5

x

+

9

5

y

+

1

−

1

=

3

5

x

+

9

5

−

1

y

+

0

=

3

5

x

+

9

5

−

5

5

y

=

3

5

x

+

4

5

The point-slope formula states:

(

y

−

y

1

)

=

m

(

x

−

x

1

)

Where

m

is the slope and

(

x

1

y

1

)

is a point the line passes through.

Substituting the slope and values from the point in the problem gives:

(

y

−

−

1

)

=

3

5

(

x

−

−

3

)

(

y

+

1

)

=

3

5

(

x

+

3

)

If you want the equation in the somewhat more familiar slope-intercept form we can solve this equation for

y

. The slope-intercept form of a linear equation is:

y

=

m

x

+

b

Where

m

is the slope and

b

is the y-intercept value.

y

+

1

=

(

3

5

⋅

x

)

+

(

3

5

⋅

3

)

y

+

1

=

3

5

x

+

9

5

y

+

1

−

1

=

3

5

x

+

9

5

−

1

y

+

0

=

3

5

x

+

9

5

−

5

5

y

=

3

5

x

+

4

5

Step-by-step explanation:

linear pair postulates