Answer:
y = -[tex]\frac{1}{2}[/tex]x + 8
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes, so the equation so far is:
y = -[tex]\frac{1}{2}[/tex]x + b
To find our b (y-axis intercept) we will plug in the points given
(equation) y = -[tex]\frac{1}{2}[/tex]x + b
(plug-in) 6 = -[tex]\frac{1}{2}[/tex](4) + b
(multiply) 6 = -2 + b
(add 2 to both sides) 8 = b
(answer) b = 8
(plug-in b) y = -[tex]\frac{1}{2}[/tex]x + 8
