Given m=-1/4 and the point -4,2

y = - x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - , thus

y = - x + c ← is the partial equation

To find c substitute (- 4, 2) into the partial equation

2 = 1 + c ⇒ c = 2 - 1 = 1

y = - x + 1 ← equation of line

y = (-¼)x + 1

Step-by-step explanation:

y = (-¼)x + c

When x = -4, y = 2

2 = (-¼)(-4) + c

2 = 1 + c

c = 1

y = (-¼)x + 1

step-by-step explanation: