The expression in A is equal to: y = 8 + 3x It can be observed that the equation is in the slope-intercept form which is equal to, y = mx + b where m is slope and b is intercept.
The slope and intercept therefore of this equation of the line are equal to 3 and 8, respectively.
For Part B: The slope of the line can be calculated through the equation, m = (y₂ - y₁) / (x₂ - x₁) Substituting, m = (5 - 2)/ (0 - -1) = 1.5
The intercept, b, is the value of y when x = 0. From the tabulation, y = 5 when x = 0. Thus, the intercept is equal to 5.
Comparing the slopes and intercepts of the equations, we can say that the slope of the second is only half that of the first and the intercept of the second is 3 less than that of the first equation.
You can draw lines from the center of the hexagon to the peak. And you can find that this hexagon is divided to 6 parts. Every 60° can the hexagon map onto itself. So at 60,120,180,240,300 and 360 total 6 times.