Question

WILL MARK BRAINLIEST!!

Answer 1

Answer:

3.58

Step-by-step explanation:

Given :

y = 2x + 4 -------- eq1

y = 2x - 4 -------- eq2

sanity check : both equations have same slope, so we can conclude that they are both parallel to one another.

Step 1: consider equation 1, pick any random x-value and find they corresponding y-value. we pick x = -2

This gives us y = 2(-2) + 4 = 0

Hence we get a point (x,y) = (-2,0)

Step 2: express equation 2 in general form (i.e Ax + By + C = 0)

y = 2x-4 -------rearrange---> 2x - y -4 = 0

Comparing with the general form, we get A = 2, B = -1, C = -4

Recall that the distance between 2 parallel lines is given by the attached formula (see attached picture).

substituting the values for A, B, C and (x, y) from the previous step:

d = | (2)(-2) + (-1)(0) + (-4) |  / √(2² + (-1)²)

d = | -4 + 0 - 4 |  / √(4 + 1)

d = | -8 |  / √5

d = 8  / √5

d = 3.5777

d = 3.58 (rounded 2 dec. pl)