Question

What is the slope-intercept equation of this line?

Answer 1

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 2

Answer:

y = -2x + 6

Explanation:

Point(s): (0, 6) (4, -2)

Calculate The Slope Using $\bold{\frac{y_2-y_1}{x_2-x_1}}$

$\bold{\left(x_1,\:y_1\right)=\left(0,\:6\right),\:\left(x_2,\:y_2\right)=\left(4,\:-2\right)}$

$\bold{m=\frac{-2-6}{4-0}}$

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