Question

URGENT PLEASE HELP!!!!!Which equation represents the line which would pass through the given points?

x,-2,4,10 y, 1,4,7
a. y= -1/2x + 2
b. y= 1/2x +2
c. y=2x+ 2
d. y= 1/2x -2

Answer 1

B

Explanation:

To find the equation of the line, let's pick two points from the table.

We can use (-2, 1) and (4, 4).

First, find the slope of the line. So:

`\displaystyle m=(4-1)/(4-(-2))=(3)/(6)=(1)/(2)`

Next, we can use the slope-intercept form given by:

`y=mx+b`

Since the slope is 1/2:

`\displaystyle y=(1)/(2)x+b`

Since we know that the line passes through the point (4, 4), y = 4 when x = 4. Therefore:

`\displaystyle (4)=(1)/(2)(4)+b`

Solve for b. Multiply:

`4=2+b`

So:

`b=2`

Therefore, our equation is:

`\displaystyle y=(1)/(2)x+2`

Our answer is B.