Answer:
p = 2, q = - 5
Explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
y + px + q = 0 ( subtract px + q from both sides )
y = - px - q ← in slope- intercept form
with slope m = - p = - 2 ( multiply both sides by - 1 )
p = 2
and y- intercept = - q = 5 ( multiply both sides by - 1 )
q = - 5