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What is the gradient of the lines with the equation
3y+6x=12
12x-4y-3=0
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For a line defined by a linear function, gradient is the same as (is the synonym of) the slope.
Therefore, the gradient of the first line, 3y + 6x = 12, is -2,
since from the equation (a) 3y = 12 - 6x, or y = -2x + 4 with the slope of -2.
The gradient of the second line, 12x - 4y - 3 = 0, is 3,
since from the equation (b) 4y = 12x - 3, or y = 3x - (3/4) with the slope of 3.
Solved and explained.
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The wording in your post is INCORRECT.
The correct wording is as follows:
What are the gradients of the lines with equations
(a) 3y + 6x = 12
(b) 12x - 4y -3 = 0
Your incorrect wording in the post reflects your incorrect thinking -
- so be careful and accurate, when you compose/write/post/publish problems in Math ( ! )
Or consider to hire an assistant/(an expert)/(a professor), who will edit your writing after you . . .