Question

Write the equation of the line with a slope of -1/3 and passing through the point (6, -4)

Answer 1

Sure.....

The equation of the straight line with slope "m" and passing through the point (x=0,y=b) is given by

y=mx+b

Answer 2

ok

Answer 3

Here, we have m=-1/3, therefore,

y=(-x/3)+b

Now, the above line must pass through the point (x=6, y=-4)...substituting x and y in the linear equation we get

-4=(-6/3)+b ---> -4=-2+b ---> b=-4+2 --> b=-2

Therefore,

y=(-x/3)-2

Answer 4

Write the equation of the line passing through the points (0, -4) and (-2, 2).

Answer 5

dont u start by finding the slope? if u can please help me do this one :)

Answer 6

The linear equation is given by

y=mx+b

Here, we are looking for the value of "m" and "b"....since you have two unknowns, you need two equations to solve for both unknowns. The linear equation must satisfy the fact that: when x=0, we have y=-4 so we get

-4=m(0)+b ---> b=-4

Also, the line must pass through the point (-2, 2), i.e., when x=-2, we must have y=2, so

2=m(-2)+(-4) ---> m(-2)=6 ---> m=-3

therefore,

y=-3x-4

Answer 7

did u find the slope first ?

Answer 8

Write the equation of the line passing through the points (-6,1) and (-4,2)

Answer 9

I found "b" y-axis intersection point

Answer 10

kay can u help me wwith one or two more please

Answer 11

I did that because I have a point that pass through x=0

Answer 12

Write the equation of the line passing through the points (-6,1) and (-4,2)

Answer 13

every time you has a line that passes though a point with (0,y)...use it to find "b"

Answer 14

For your last question, you need to find the slope first

Answer 15

well can you help me please

Answer 16

slope=m=(y2-y1)/(x2-x1)=(2-1)/(-4-(-6))=1/(-4+6)=1/2=0.5

So, we have now

y=0.5x+b

Now take any point one the line, say (-6,1) and plug it in the above equation, you get

1=0.5(-6)+b --> 1=-3+b --> b=4

Therefore,

y=0.5x+4

Answer 17

Write the equation of the line with an undefined slope, passing through the point (2, 5).

Answer 18

A line with an undefined slope passing through a point (a,b) means a vertical line with equation x=a

Here you have x=2

Answer 19

okay

Answer 20

x=2 is the answer

Answer 21

one last question :)

Answer 22

okaaay...