SOLUTION: What is the equation of a line that goes through the following points: (0, 2) & (4, 8) A.) y = 3/2x + 3 B.) y = 3/2x + 2 C.) {{{ y = 2x + 2 }}} D.) {{{ y = 2x + 3 }}}

Algebra ->  Test -> SOLUTION: What is the equation of a line that goes through the following points: (0, 2) & (4, 8) A.) y = 3/2x + 3 B.) y = 3/2x + 2 C.) {{{ y = 2x + 2 }}} D.) {{{ y = 2x + 3 }}}       Log On


   

Question 1045569: What is the equation of a line that goes through the following points: (0, 2) & (4, 8)
A.) y = 3/2x + 3
B.) y = 3/2x + 2
C.) +y+=+2x+%2B+2+
D.) +y+=+2x+%2B+3+
Found 2 solutions by MathLover1, ewatrrr:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: Find the equation of line going through points
hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (0, 2) and (x2, y2) = (4, 8).
Slope a is a+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29+=+%288-2%29%2F%284-0%29+=+1.5.
Intercept is found from equation a%2Ax%5B1%5D%2Bb+=+y%5B1%5D, or 1.5%2A0+%2Bb+=+2. From that,
intercept b is b=y%5B1%5D-a%2Ax%5B1%5D, or b=2-1.5%2A0+=+2.

y=(1.5)x + (2)

Your graph:





so, y=1.5x+%2B+2, and since 1.5=3%2F2, your answer is B.) y+=+%283%2F2%29x+%2B+2

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
m =%28y%5B1%5D+-+y%5B2%5D%29%2F%28x%5B1%5D+-+x%5B2%5D+%29
(0, 2) &
(4, 8) m = -6/-4 = 3/2
***Using point-slope form, y+-+y%5B1%5D+=+highlight_green%28m%29%28x+-+x%5B1%5D%29
y-2 = (3/2)(x-0) Using P(0,2)
y = (3/2)x + 2
Ans B