What is the slope-intercept form of the equation: y-4=-2/5(x+6)

Answer 1

Slope intercept form is written as:

y = mx + b

So we just need to solve your equation for y:

1. Distribute the -2/5 into the parentheses: y - 4 = -2/5x + -12/5
2. Add 4 to both sides to isolate y on the left side: y = -2/5x + -12/5 + 4
3. Simplify: y = -2/5x + 8/5