The equation of line ef is y = 2x + 1. write an equation of a line parallel to line ef in slope-intercept form that contains point (0, 2).

The equation of required line is y=2x+2.

Step-by-step explanation:

The slope intercept form of a line is

       .... (1)

Where, m is slope and b is y-intercept.

The equation of given line EF is

      .... (2)

From (1) and (2), we get

The slope of the line is 2 and y-intercept is 1.

The slope of parallel lines are same. So, the slope of required line is 2.

The line passes through the point (0,2). It means the y-intercept of the line is 2.

Substitute m=2 and b=2 in equation (1), to find the equation of required line.

Therefore the equation of required line is y=2x+2.

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.

2 apples

step-by-step explanation:

taking away equals subtraction. 6-4=2