contestada

What is the equation of the line that is parallel to the given
line and passes through the point (-2, 2)?
A. Y= 1/5x + 4
B. Y=1/5x + 12/5
C. Y=-5x + 4
D. Y=-5x+12/5

What is the equation of the line that is parallel to the given line and passes through the point 2 2 A Y 15x 4 B Y15x 125 C Y5x 4 D Y5x125 class=

Respuesta :

Spykids
The answer is B.

The slope of the line shown is 1/5, and being parallel means having the same slope. So it’s either a or b.

Next, you plug in (-2, 2) into y=1/5x+b to find b.

Solving you get: 2=1/5 * -2 +b
2=-2/5+b
B=2 2/5

12/5 = 2 2/5

So the answer is b.

Hope this helps!
akposevictor

The equation of the line that is parallel to the given line in the graph and passes the point (-2, 2) is: B. y = 1/5x + 12/5

What is the Equation of Parallel Lines?

Lines that are parallel will have the same slope (m) in their equation which is expressed as y = mx + b, where m is the slope and b is the y-intercept.

The slope (m) of the line shown = change in y / change in x = 1/5

The slope (m) of the the line parallel to it would also be 1/5.

Substitute m = 1/5 and (-2, 2) = (a, b) into y - b = m(x - a)

y - 2 = 1/5(x - (-2))

y - 2 = 1/5x + 2/5

y = 1/5x + 2/5 + 2

y = 1/5x + 12/5 (option B)

Learn more about equation of parallel lines on:

https://brainly.com/question/11345748

#SPJ2

Otras preguntas