Question

1. Write an equation in point-slope form for the line through the given point with the given slope.

Answer 1

Answer: y + 2 = $\frac{-1}{2}$ ( x - 4 )

Step-by-step explanation:

The equation of a line in point - slope form is given as ;

y - $y_{1}$ = m (x -  $x_{1}$)

$x_{1}$ = 4

$y_{1}$ = -2

m = $\frac{-1}{2}$

Substitute the values into the equation , we have

y - (-2) = $\frac{-1}{2}$( x - 4 )

y + 2 = $\frac{-1}{2}$ ( x - 4 )

Which could be written as :

y + 2 = y + 2 = $\frac{-1}{2}$ x + 2