Write an equation of a line that is parallel to y=3x-2 and runs through the point (1,6)

y=3x+3

Step-by-step explanation:

If equations of lines are parallel, their slopes are the same. Therefore, we can sub '3' in for the slope value in y=mx+c to get y=3x+c.

Sub in the point:

6=3(1)+c

c=6-3=3

ANS: y=3x+3

y = 3x + 3

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 )

y = 3x - 2 ← is in slope- intercept form

with slope m = 3

Parallel lines have equal slopes, so

y = 3x + c ← is the partial equation

To find c substitute (1, 6) into the partial equation

6 = 3 + c ⇒ c = 6 - 3 = 3

y = 3x + 3 ← equation of parallel line

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10