Question

Select all points on the line with a slope of -1/2 that go through the point (4,-1)

Answer 1

Answer: (-4,4)  (4, 6).

Step-by-step explanation:

Use a graph to test it

Answer 2

Answer:

The general format for the point-intercept quation is

y

=

m

x

+

b

Where

m

=

slope and

b

=

y-intercept

Given the slope is

2

, the equation now looks like

y

=

2

x

+

b

Given

P

(

−

1

,

4

)

we can solve for the

b

variable by substituting the

x

and

y

cordinates.

4

=

2

⋅

(

−

1

)

+

b

4

=

−

2

+

b

b

=

6

Therefore the equation that has the slope of

2

and passes through the point

(

−

1

,

4

)

is

y

=

2

x

+

6

Here's a graphical look,

graph{2x+6 [-10, 10, -5, 10]}

Step-by-step explanation: