SOLUTION: these are the points: (2,15) (4,30) (6,50) (8,65) Find an equation for the line you drew. Use your equation to predict when x=3, x=5, x=7

Algebra ->  Linear-equations -> SOLUTION: these are the points: (2,15) (4,30) (6,50) (8,65) Find an equation for the line you drew. Use your equation to predict when x=3, x=5, x=7      Log On


   

Question 1046023: these are the points: (2,15) (4,30) (6,50) (8,65)
Find an equation for the line you drew.
Use your equation to predict when x=3, x=5, x=7
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) = (2, 15) and (x2, y2) = (4, 30).
Slope a is a+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29+=+%2830-15%29%2F%284-2%29+=+7.5.
Intercept is found from equation a%2Ax%5B1%5D%2Bb+=+y%5B1%5D, or 7.5%2A2+%2Bb+=+0. From that,
intercept b is b=y%5B1%5D-a%2Ax%5B1%5D, or b=15-7.5%2A2+=+0.

y=(7.5)x + (0)

Your graph:




use your equation y=%287.5%29x+ to predict when x=3, x=5, x=7:
if x=3
y=%287.5%293+
y=22.5

if x=5
y=%287.5%295+
y=37.5

if x=7
y=%287.5%297+
y=52.5