Question

What is the equation of the line that has a slope of -4 and goes through (-1,6)

Answer 1

y = -4x + 2

Explanation:

• We know that the equation of slope is y = mx + b
• We also know that the slope is -4 given in this problem
• So:

1. y = -4x + b
2. Using the point (-1, 6), we can substitute this point into the above equation to solve for b.
3. (6) = -4(-1) + b
4. 6 = 4 + b
5. b = 2
6. Therefore the equation of the line is y = -4x + 2