Please can someone answer this

Question

can
some one help i have been working on this all day

A line has the given slope m and passes through the first point listed
in the table . complete the table so that each point on the table lies
on the line.
M=2

X 0 1 2 3
Y 0

Answer 1

Hi Crystal,

 

First, you need to find the equation of this line. Since you have the slope and a point (0,0) we can use the point-slope formula to get the equation of this line. 

 

Point-slope formula: y - y₁ = m(x - x₁)      m = 2, x₁ = 0, and y₁ = 0

                              y - 0 = 2(x - 0)

                              y =2x   ---> this is the equation of line

 

To find the other y-values to complete the table take the x values and plug them into the equation of the line y = 2x to get the y-values. So your final answer for your table will be:

 

x   0    1    2    3

y   0    2    4    6

 

I hope this helps. Please leave feedback. Thanks!

Answer 2

 General rule for equation of Line is:

 

   Y = mX + b 

 

      You should have M₁, and coordinate of one  point given , i.e. (X₁,Y_{1), and m1}

 

      Y =M₁X  ₊ b  

     

         Plug in  (x_1,Y₁₎ in the equation

 

         b  = Y₁ - M₁X₁

         back into equation

         

         Y = M₁X - Y_{1 -} M₁X₁

            In your example  m = 2  say it passes through point ( 2,3).

 

           Y = 2X + b

            3 = 2(2) +b

           b = 3-4 = -1

 

            Y = 2X -1 

  

      

Answer 3

Hey Crystal -- slope "m" is "rise over run" ... m=2 means that when x runs 1, y rises 2 ... when x runs 2, y rises 4 ... x runs 3, y rises 6 ... Regards, ma'am :)