Question

Write the equation of the line that passes through (3, 4) and (2,-1) in point slope form

Answer 1

The point slope formula is : y-y₁ =m(x-x₁), so first u need to find the value of slope.

Explanation:

finding the value of slope:

slope(m)= y₂-y₁ ÷ x₂-x₁

= -1-4 ÷ 2-3

= 5

now finding equation;

y-y₁=m(x-x₁)

y-4 = 5(x-3)

11=5x - y

0= 5x - y -11

therefore equation of line in point slope is : 5x-y-11=0

Answer 2

Explanation:

Using Point Slope formula :

`(y - y_1) = ((y_2 - y_1))/((x_2 - x_1)) (x - x_1)`

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

`y = 5x - 11`