What is the point slope form of the points? (-4,-1) and (1 1/2, 2) y+1=6/11(x+4) y+1=6/7(x+4) y+4=11/6(x+1) y-1=6/11(x-4)

the equation of a line in point-slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

to calculate m use the gradient formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 4, - 1) and (x₂, y₂) = (1 1/2, 2 )

m = = =

using (a, b) = (- 4, - 1), then

y + 1 = (x + 4)

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!