Respuesta :

Answer:

slope = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

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

y + 3 = [tex]\frac{1}{2}[/tex](x - 2) is in this form

with slope m = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

what is the slope of the equation y+3=1/2(x-2)?

STEPS:

y+3=[tex]\frac{1}{2 } (x-2)[/tex]

Switch Sides:

[tex]\frac{1}{2} (x-2)=2y+3[/tex]

Multiply both sides by two:

2·[tex]\frac{1}{2} (x-2)=2y+2[/tex]·3

Simplify:

x-2=2y+6

Add 2 to both sides:

x-2+2=2y+6+2

Simplify:

x=2y+8