Q: Which is an equationof a line parallelto the line whose equation is 3y equals 2x plus 3?

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x2 + y2 = 49

2/3.

5

Somehow, sadly, the list of allowed choices that you carefully included with your questionhas been lost.The equation in the question can be re-arranged and written in slope-intercept form asy = -5/2 x + 5This tells us that the graph of the equation has a slope of -5/2 and a y-intercept of 5.Any line with the same slope and a different intercept is parallel to this one. So the equationof a parallel line isy = -5/2 + (any number except 5)

y = - 1/3 x + any number.

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A linear equation ?

x2 + y2 = 49

y = 0That's the equation of the x-axis.Its slope is zero.

7

17/12

2/3.

5

Somehow, sadly, the list of allowed choices that you carefully included with your questionhas been lost.The equation in the question can be re-arranged and written in slope-intercept form asy = -5/2 x + 5This tells us that the graph of the equation has a slope of -5/2 and a y-intercept of 5.Any line with the same slope and a different intercept is parallel to this one. So the equationof a parallel line isy = -5/2 + (any number except 5)

ax + by = cThe graph if that equation is a straight line whose slope is (-a/b)and whose y-intercept is (c/b).

1.67 or 1.667

-5

It is: -1/2