Question

This is due tomorrow, so please help and show step by step​

Answer 1

Answer:

• slope = 3/2
• y-intercept = 3
• x-intercept = -2

Step-by-step explanation:

The slope is the coefficient of x when the equation is of the form ...

  y = (something).

Here, we can put the equation in that form by subtracting 12x and dividing by the coefficient of y:

  12x -8y = -24 . . . . . given

  -8y = -12x -24 . . . . .subtract 12x

  y = 3/2x +3 . . . . . . . divide by -8

This is the "slope-intercept" form of the equation. Generically, it is written ...

  y = mx + b . . . . . . where m is the slope and b is the y-intercept

So, the above equation answers two of your questions:

  slope = 3/2

  y-intercept = 3

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The x-intercept is found fairly easily from the original equation by setting y=0:

  12x = -24

  x = -24/12 = -2 . . . . . the x-intercept

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A graph of the equation can also show you these things. The graph shows a rise of 3 units for a run of 2, so the slope is rise/run = 3/2. The line crosses the axes at x=-2 and y=3, the intercepts.