Which line coincides with y=4x+2. Select all that apply

y + 2 = 4(x + 1)

8x - 2y = -4

Step-by-step explanation:

When two lines coincides, their slope (m) and y-intercept (b) are of the same value, or multiples of each other.

The line, y = 4x + 2 is given in slope-intercept form, y = mx + b. Where,

slope (m) = 4

y-intercept (b) = 2.

To select which line coincides with y = 4x + 2, rewrite each given line equation in the slope-intercept form and compare teach slope and y-intercept.

Option 1: y + 2 = 4(x + 1)

y + 2 = 4x + 4

y = 4x + 4 - 2

y = 4x + 2

The slope is 4, and the y-intercept is 2, therefore it coincides with the line, y = 4x + 2.

Option 2: 4y = x + 8

4y/4 = x/4 + 8/4

y = ¼x + 2

The slope is ¼, y-intercept is 2. This line does not coincides with the line, y = 4x + 2.

Option 3: y = -4x + 2

Slope = -4 and y-intercept = 2, therefore this line doesn't coincides with the line, y = 4x + 2.

Option 4: 8x - 2y = -4

-2y = -8x - 4

-2y/-2 = -8x/-2 - 4/-2

y = 4x - (-2)

y = 4x + 2

The slope = 4, and the y-intercept = 2, therefore, it coincides with the line, y = 4x + 2.

a

b

d

step-by-step explanation: