Question

Determine the equation of the line with slope −4 that passes through the point M(−2, 1).

y = −4x + 7
y = −4x − 7
y = 4x + 9
y = −4x − 9

Answer 1

y = - 4x - 7

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 = - 4, thus

y = - 4x + c ← is the partial equation

To find c substitute M(- 2, 1) into the partial equation

1 = 8 + c ⇒ c = 1 - 8 = - 7

y = - 4x - 7 ← equation of line