Math
posted by Kimbo
What is the equation of the line that passes through all the points in the table?
x 4 2 0 2
y 0 4 8 12
A. y= 2x8
B. y= 2x4
C. y= 4x8
D. y= 4x4
PLEASE EXPLAIN PLZZ

Jai
Take two points from the given. For instance the first two points (4,0) and (2,4).
Get the slope using the formula,
m = (y2  y1) / (x2  x1)
where
(x1,y1) and (x2,y2) are points on the line.
Substituting,
m = (0  (4)) / (4  (2))
m = (0 + 4) / (4 + 2)
m = 4 / 2
m = 2
Finally substitute the slope and a point in slopeintercept form of equation:
y  y1 = m(x  x1)
y  0 = 2(x  (4))
y = 2(x + 4)
y = 2x  8
hope this helps~ `u` 
Kimbo
THANK YOU SM JAI
Respond to this Question
Similar Questions

Math 101
Find the equation for each of the following items below: a. A line that passes through (6,26) and has a slope of 3. b. A line that passes though the points (5,5) and (10,20) c. A line that passes through (9,25) and has a slope of 3. … 
Math
This question concerns the straight line that passes through the points (−1, 3) and (2, −6). Choose the three true statements from the following. Options A The gradient of the line is 3. B The gradient of the line is −3. … 
Mathamatics
This question concerns the straight line that passes through the points (−1, 3) and (2, −6). Choose the three true statements from the following. Options A) The gradient of the line is 3. B) The gradient of the line is … 
mat 101
Equation for a line that passes through (6,26) and has a slope of 3 Equation for a line that passes through the points (5,5) and (10,20) Equation for a line that passes through (9,25) and has a slope of 3. Equation for a line that … 
Maths
Hi, need a bit of help on this one. A straight line passes through the points (4,3) and (10,0), I need to write down the equation of the line in the form y=mx+c, I have tried but I cant seem to get the second coordinates to satisfy … 
Algebra
1. What is the equation for the line that passes through the point (5,2) and has a slope of 0? 
Math
Line A passes the points (5,13) and (1,1). Line B runs perpendicular to Line A and passes the points (6,5). Find the equation of each line. 
Math
What is the yintercept of y = 2/3x + 2? I have to write it out but how? 
Math please.
What is the yintercept of y = 2/3x + 2? I have to write it out but how? 
Mathematics
Can someone check my answers? 1. For the data in the table, does y vary directly with X?