What is the slope of the line whose equation is y−4= startfraction 5 over 2 endfraction.(x−2)?

a coordinate plane with a line passing through the points (0, negative 1) and (2, 4).

–negative startfraction 5 over 2 endfraction.
–negative startfraction 2 over 5 endfraction.
startfraction 2 over 5 endfraction.
startfraction 5 over 2 endfraction.

For this case we must find the slope of the following equation:

By definition, the point-slope equation of a line is given by:

Where:

: It is a point through which the line passes

m: It's the slope

So, the slope of the given equation is:

Option D

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.