A line passes through the point (0,6) and is parallel to the line with the equation y =
1/5X - 5. What's the equation of the line?
O A) y = 1/5x + 6
OB) y = -5x + 6
C) y = 1/5* - 6
OD) y=1/5X

Respuesta :

Answer:

First option is the correct choice.

Step-by-step explanation:

y - 6 = 1/5 x + 0

y = 1/5x + 6

Best Regards!

Answer:

A

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 = [tex]\frac{1}{5}[/tex] x - 5 ← is in slope- intercept form

with slope m = [tex]\frac{1}{5}[/tex]

Parallel lines have equal slopes, thus parallel line has slope of [tex]\frac{1}{5}[/tex]

The line crosses the y- axis at (0, 6) ⇒ c = 6

y = [tex]\frac{1}{5}[/tex] x + 6 ← equation of parallel line → A