Which line coincides with y= 4x + 2?

D. 8x - 2y = -4

Step-by-step explanation:

The line that coincides with the line represented by the equation, y = 4x + 2, is the line that has an equation that is equivalent to y = 4x + 2, or the line whose equation has the same slope (m) and y-intercept (b) as the line represented by the equation, y = 4x + 2.

A line equation is in the form of slope-intercept, is given as y = mx + b.

Thus,

The slope (m) of the line equation, y = 4x + 2, is 4, while it's y-intercept (b) is 2.

Compare each given option of line equation in their slope-intercept form, and check out which one has the same slope and y-intercept as y = 4x + 2, or has an equation equivalent to it.

Option 1: y = -4x + 2

Here, the slope (b) is -4, and y-intercept (b) is 2. This line doesn't coincide with y = 4x + 2.

Option 2: y = 4x - 2.

The slope (m) is 4, and the y-intercept (b) is -2. This line doesn't coincide with y = 4x + 2.

Option 3: 4y = x + 8

Convert to slope-intercept form

4y/4= (x + 8)/4

y = x/4 + 8/4

y = ¼x + 2

The slope is ¼. The y-intercept is 2.

This line doesn't coincide with y = 4x + 2.

Option 4: 8x - 2y = -4

Convert to slope-intercept form.

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

-2y = - 4 - 8x

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

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

y = 2 + 4x

y = 4x + 2

The slope is 4 and the y-intercept is 2. Therefore, 8x - 2y = -4 coincides with y = 4x + 2.

dalila is incorrect. the whisker on the left is very long, going all the way out to 5. the whisker goes from 5 to 30, so it has a spread of 25. the rest of the box plot values are closer together, so 5 is an outlier

ca = ec

cpctc makes it so that corresponding parts of the triangle you proved to be equal are equal, the other options aren't part of the part of the triangles you proved to be equal.