Find the equation of the line that passes through the following points. Put your equation into slope-intercept form: (4, 25), (8, 61)

y = 9x - 11

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = y intercept

m represents the slope of the line.

m = (y2 - y1)/(x2 - x1)

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

The line passes through (4, 25) and (8, 61),

y2 = 61

y1 = 25

x2 = 8

x1 = 4

Slope,m = (61 - 25)/(8 - 4) = 36/4 = 9

To determine the y intercept, we would substitute x = 4, y = 25 and m= 9 into y = mx + c. It becomes

25 = 9 × 4 + c

25 = 36 + c

c = 25 - 36

c = - 11

The equation becomes

y = 9x - 11

answer: add the !

step-by-step explanation: then we will answer

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.