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lukranit [14]
2 years ago
15

Does anybody know any of these work needs to be shown answer ASAP

Mathematics
1 answer:
fenix001 [56]2 years ago
5 0
#30 and #31 are in y = mx + b. m = slope, and b = y-intercept.
30. slope = 2/3 y-intercept = 1
31. Slope =  -9/5 y-intercept = -4
To make the x's get on the right side of the equal sign, subtract it on both sides.
32. 6x - y = -2
32. 6x - y - 6x = -2 - 6x
32. y = 6x - 2
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Answer:

3x + 2y = -4

Step-by-step explanation:

x intercept of the line occurs at y = 0

Given the equation 3x+2y = 6

3x+2(0) = 6

3x  = 6

x = 2

The x intercept is at (2, 0)

Adding -2 to each axis will give (2-2, 0-2) = (0, -2)

y intercept of the line occurs at x = 0

Given the equation 3x+2y = 6

3(0)+2y = 6

2y  = 6

y =3

The x intercept is at (0, 3)

Adding -2 to each axis will give (0-2, 3-2) = (-2, 1)

The new coordinates are (0, -2 and (-2, 1)

Using the point slope form of the equation y - y0 = m(x-x0)

slope m = y2-y1/x2-x1

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m = -3/2

Using m = -3/2 and (0, -2)

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3x + 2y = -4

Hence the required equation is 3x + 2y = -4

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