SOLUTION: NEED ANSWERS PLEASE PLEASE!! 1. Sketch a graph of the relation y + 4 = 2(x – 3). Explain the procedure used. 2. Sketch a graph of the linear relation 8x + 2y = 24. Explain

Algebra ->  Linear-equations -> SOLUTION: NEED ANSWERS PLEASE PLEASE!! 1. Sketch a graph of the relation y + 4 = 2(x – 3). Explain the procedure used. 2. Sketch a graph of the linear relation 8x + 2y = 24. Explain       Log On


   

Question 1018654: NEED ANSWERS PLEASE PLEASE!!
1. Sketch a graph of the relation y + 4 = 2(x – 3). Explain the procedure used.
2. Sketch a graph of the linear relation 8x + 2y = 24. Explain the procedure.
3. Determine the value of B such that the line defined by 8x + By + 92 = 0 passes through the point (-4,12).
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
1:

y%2B4=2%28x-3%29,y+4=2(x-3), is in point-slope form. This line has slope 2 and includes
the point (-4,3).
graph%28300%2C300%2C-5%2C5%2C-10%2C1%2C2x-10%29


2:

Standard Form equation, 8x+%2B+2y+=+24
4x%2By=12
Now as slope-intercept form, y=-4x%2B12.
Slope is -4 and y-intercept is 12.
graph%28300%2C300%2C-5%2C5%2C-1%2C12%2C-4x%2B12%29


3:

8x+%2B+By+%2B+92+=+0 must pass through (-4,12). Solve for B.
By=-8x-92
y=-%288%2FB%29x-92%2FB
but this pathway is not necessary.
-
Instead, try solving for B and substitute the point needed.
By=-8x-92
B=-8x%2Fy-92%2Fy
B=-8%2A%28-4%29%2F12-92%2F12
B=-8%2F3-46%2F6
B=-16%2F6-46%2F6
B=-62%2F6
highlight%28highlight_green%28B=-31%2F3%29%29

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

NEED ANSWERS PLEASE PLEASE!!
1. Sketch a graph of the relation y + 4 = 2(x – 3). Explain the procedure used.
2. Sketch a graph of the linear relation 8x + 2y = 24. Explain the procedure.
3. Determine the value of B such that the line defined by 8x + By + 92 = 0 passes through the point (-4,12).
Nos. 1 and 2:

1) Substitute 0 for x, and solve for y to determine the y-intercept point

2) Substitute 0 for y, and solve for x to determine the x-intercept point

3) Join the points to get the graph



No. 3:

8x + By + 92 = 0 ------ Substituting (- 4, 12) into equation

8(- 4) + 12B + 92 = 0

- 32 + 12B + 92 = 0

60 + 12B = 0

12B = - 60

B+=+%28-+60%29%2F12, or highlight%28highlight_green%28highlight%28B+=+-+5%29%29%29%29