Question

The points (7,2) and (-1,0) lie on a line a-7y=3x-7 b.4y=X+1 C.y=7x+7. D. X=4y+1

Answer 1

Option b.
`4y=x+1`

Explanation:

step 1

Find the slope

The formula to calculate the slope between two points is equal to

`m=(y2-y1)/(x2-x1)`

we have the points

(7,2) and (-1,0)

substitute the given values in the formula

`m=(0-2)/(-1-7)`

`m=(-2)/(-8)`

`m=(2)/(8)`

simplify

`m=(1)/(4)`

step 2

Find the equation of the line in point slope form

`y-y1=m(x-x1)`

we have

`m=(1)/(4)`

`point\ (-1,0)`

substitute

`y-0=(1)/(4)(x+1)`

`y=(1)/(4)x+(1)/(4)`

Multiply by 4 both sides

`4y=x+1`