What is the slope-intercept equation of this line?

Answer:
Y=-4/2 + 6
Step-by-step explanation:
It is +6 because the line intercepts the Y axis at the point 6. It is a negative slope. It is a slope of -4/2 because from point (0,6) it goes down 4 and 2 right.
Answer:
y = -2x + 6
Explanation:
Point(s): (0, 6) (4, -2)
Calculate The Slope Using [tex]\bold{\frac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]\bold{\left(x_1,\:y_1\right)=\left(0,\:6\right),\:\left(x_2,\:y_2\right)=\left(4,\:-2\right)}[/tex]
[tex]\bold{m=\frac{-2-6}{4-0}}[/tex]
Simplify: m = -2
Calculate The Y - Intercept
6 = -2(0) + b
-2(0) = 0
6 = 0 + b
Subtract 0 From Both Sides Of Equation
6 - 0 = 0 - 0 + b
6 = b
Insert Numbers Into Slope - Intercept Equation
y = -2x + 6