In the xy plane what is the slope of the line whose equation is 3x - 2y = 8

Solution:

Given, the equation is 3x - 2y = 8

We have to find the slope of the line in xy plane.

The equation of the line in slope-intercept form is given by

y = mx + c

Where, m is the slope

Converting the given equation to slope intercept form,

3x - 8 = 2y

y = 3x/2 - 8/2

y = 3x/2 - 4

From the equation, m = 3/2

Therefore, the slope is 3/2

Example: In the xy plane what is the slope of the line whose equation is x - 2y = 4?

Solution:

Given, the equation is x - 2y = 4

We have to find the slope of the line in xy plane.

The equation of the line in slope intercept form is given by

y = mx + c

Where, m is the slope

Converting the given equation to slope intercept form,

x - 4 = 2y

y = x/2 - 4/2

y = x/2 - 2

From the equation, m = 1/2

Therefore, the slope is 1/2

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In the xy plane what is the slope of the line whose equation is 3x - 2y = 8

Summary:

In the xy plane, the slope of the line whose equation is 3x - 2y = 8 is 3/2.