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The slope and y-intercept

The slope and y-intercept-example-1

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Answer:

(6.) Slope = 1; y -intercept = 3

(8.) Slope = 5/3; y-intercept = 0

Explanation:

Both equations for (6.) and (8.) are in the slope-intercept form of a line, whose general equation is given by:

y = mx + b, where

  • m is the slope,
  • and b is the y-intercept.

(6.)

  • When you see an equation like y = x, this means the slope is 1 since we imagine there's 1 in front of the x.
  • Teachers and textbooks usually stop writing the 1 since they want us to begin remembering it and mostly because y = x is what we call the "parent function" (i.e., the most basic, non-altered version of a line).

Slope: Thus, the slope is 1.

y-intercept: The y-intercept is 3.

(8.):

  • When every you see y = mx, this means the y-intercept is 0 and the line beings at the origin.

Slope: The slope is 5/3.

y-intercept: The y-intercept is 0.

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