Respuesta :

Answer:

slope   3/5

Step-by-step explanation:

3x − 5y − 6 = 0

To find the slope, we want to solve for y

(y = mx+b   slope intercept form of the equation(

Add 5y to each side

3x − 5y+5y − 6 = 0+5y

3x-6 = 5y

Divide by 5

3/5x -6/5 = 5y/5

3/5 x -6/5 = y

The slope is 3/5 and the y intercept is -6/5

In tandem with general linear equation, the slope of the equation is 3/5

SLOPE

Another name for slope is gradient. From the general linear equation,

Y = mx + c

  • m = slope or gradient
  • c = intercept
  • y = dependent variable
  • x = independent variable

To determine the slope of the line 3x − 5y − 6 = 0,

Make y the subject of formula and make the equation in line with general linear equation.

5y = 3x - 6

y = 3x/5 - 6/5

Therefore, from the equation above, the slope is 3/5

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