The point-slope form:

We have the point (-2, 5) and the slope m = -4. Substitute:

use distributive property
add 5 to both sides
add 4x to both sides

Answer:
point-slope form: y - 5 = -4(x + 2)
slope-intercept form: y = -4x - 3
standard form: 4x + y = -3