A 3 dimensional figure has a square base and 4 lateral faces that meet at a point. Explain the difference between the cross sections when a slice is made perpendicular to the base through the vertex , and when slice is made perpendicular to the base and not through the vertex

a slice is made perpendicular to the base through the vertex: triangle

slice is made perpendicular to the base and not through the vertex: trapezoid

Step-by-step explanation:

a slice is made perpendicular to the base through the vertex: triangle

slice is made perpendicular to the base and not through the vertex: trapezoid

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)