SOLUTION: Which of the following is an equation of the line passing through (-2,4) and (6,0)? A. y= 1/2x + 3 B. y= -1/2x + 3 C. y = -2x + 3 D. y = -1/2x + 6

Algebra ->  Equations -> SOLUTION: Which of the following is an equation of the line passing through (-2,4) and (6,0)? A. y= 1/2x + 3 B. y= -1/2x + 3 C. y = -2x + 3 D. y = -1/2x + 6       Log On


   

Question 81584: Which of the following is an equation of the line passing through (-2,4) and (6,0)?
A. y= 1/2x + 3
B. y= -1/2x + 3
C. y = -2x + 3
D. y = -1/2x + 6
Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
Use the formula for a slope:
Slope=m=%28%28y1-y2%29%2F%28x1-x2%29%29
Use the formula for a slope:
Slope=m=%28%284-0%29%2F%28%28-2%29-6%29%29 [plug-in the values and solve]
Slope=m=%28%284%29%2F%28-8%29%29
Slope=m=%28%281%29%2F%28-2%29%29
or
Slope=m=%28%28-1%29%2F%282%29%29
.
Next, use the slope-intercept equation of a line: y=mx+b
y=mx+b [plug-in the values and solve for the b-term]
4=(-1/2)(-2)+b
4=1+b
4-1=b
3=b
.
Plug the slope and intercept into the formula
y=mx+b
y=-1/2x+3