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Use intercepts to graph the equation 3x-2y=6

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Considering the definition of a line and the y-intercept, the graph is attached.

A linear equation o line can be expressed in the form y = mx + b

where

  • x and y are coordinates of a point.
  • m is the slope.
  • b is the ordinate to the origin.

The ordinate to the origin or y-intercept is the point where a line crosses the y-axis. To find the y-intercept of a function, you simply do x = 0 and replace in the equation of the line. Then you solve the equation you obtained.

The x-intercept is the point where a line crosses the y-axis. To find the x-intercept of a function, you simply do y = 0 and replace in the equation of the line. Then you solve the equation you obtained.

If x=0, you replace this value in the equation 3x-2y=6:

3×0-2y=6

Solving:

0-2y=6

-2y=6

y= 6÷(-2)

y= -3

Finally, the y-intercept is (x;y)= (0; -3).

If y=0, you replace this value in the equation 3x-2y=6:

3x-2×0=6

Solving:

3x-0=6

3x=6

x= 6÷(3)

x= 2

Finally, the y-intercept is (x;y)= (2; 0).

Finally, the graph is attached.

Use intercepts to graph the equation 3x-2y=6-example-1
User Tejo
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