Question

Which equation is a point slope form equation for line AB ?

y−2=34(x−1)

y−1=34(x−2)

y−6=34(x−5)

y−5=34(x−6)

Answer 1

y−5=34(x−6)

Explanation:

Answer 2

`y-5=(3)/(4)(x-6)`

Explanation:

we know that

The equation of a line in point slope form is equal to

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

step 1

Find the slope m

we have the points

A(-2,-1),B(6,5)

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

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

substitute the values

`m=(5+1)/(6+2)`

`m=(6)/(8)`

simplify

`m=(3)/(4)`

step 2

Find the equation of the line

we have

`(x1,y1)=(6,5)`

`m=(3)/(4)`

substitute

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

`y-5=(3)/(4)(x-6)`