What is the relationship of the line -2x+6y=2
to the line 6x-2y=7 are these lines parallel, perpendicular or neither

Neither

Step-by-step explanation:

The easiest way to determine the relationship of these two lines is by plugging them into a graphing calculator

The red line represent -2x + 6y = 2

The blue line represents 6x - 2y = 7

As you can see in the graph below, the lines are neither perpendicular or parallel to each other. So, the answer is neither

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

i'm assuming that it's c.)   volcanoes built the mountains and earthquakes tore them down.