Question

In the equation y=(5/2)x+1, for every 10 units up on the slope, the point will move how many units horizontally?
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Answer 1

Answer:

The (x, y) coördinates at B have changed from the coördinates at A. By the symbol Δx ("delta x") we mean the change in the x-coördinate. That is,

Δx = x2 − x1.

Similarly, Δy ("delta y") signifies the resulting change in the y-coördinate.

Δy = y2 − y1.

Δx is the horizontal leg of that right triangle; Δy is the vertical leg.

By the slope of a straight line, then, we mean this number:

Slope = _Vertical leg_

Horizontal leg = Δy

Δx = The slope of a line

For example,

The slope of a line