5. write an equation for the line that is parallel to the given line and that passes through the given point. y = –5x + 3; (–6, 3)

y = -5x - 27

Step-by-step explanation:

First and foremost, parallel lines have SIMILAR RATE OF CHANGES [SLOPES], so we keep the -5. Moving forward, we simply plug the coordinate into the Slope-Intercept Formula, y = mx + b --> 3 = -5[-6] + b. Our y-intercept is [0, -27], therefore our parallel equation is y = -5x - 27.

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2

c 1 hour

step-by-step explanation:

m = 2e

m = 2 so 2 = 2e

1 = e