PLEASE HELP ME!! Write an equation of the line that passes through (4,−1) and is parallel to the line y=3x+7.
An equation of the parallel line is _

y = 3x-13

Step-by-step explanation:

For parallel lines, their slopes/gradients of the line are equal.

Given the parallel line, y = 3x+7 implies the slope say m1 = 3.

Hence, the slope of the new line say m2 should be 3 too.

Now, substitute the point (4,-1) into the general formula y-y1 = m2 (X-X1)

This implies, y - (-1) = 3 (X-4) = 3X-12

                     y + 1 = 3X - 12.   Subtract 1 from both sides gives y = 3x - 13

Therefore, the equation of the new parallel line is y = 3x - 13

reduce the friction between its moving parts

step-by-step explanation:

in fact, by reducing the friction between the moving parts of the machine, it is possible to reduce the energy wasted due to this friction; therefore, more input energy is converted into useful work, and this will improve the efficiency of the machine.

a mantle plume is an upwelling of abnormally hot rock within the earth's mantle. as the heads of mantle plumes can partly melt when they reach shallow depths, they are thought to be the cause of volcanic centers known as hotspots and probably also to have caused flood basalts.

step-by-step explanation: