Find the slope of each line described? A line parallel to the line whose equation is 2x 3y = 6?

Question

1.)1/3
2.)2/3
3.)4/3
4.)3/3

Answer 1

Parallel lines have the same slope.
Do you mean 2x - 3y = 6 ?
If so, then :
2x - 3y = 6
3y = 2x - 6
y = 2/3x - 2
→ slope = 2/3.

Answer 2

Your equation is wrong, it must be 2x + 3y = 6 or 2x - 3y = 6

For the first case, the slope is -2/3. Since this is not an option, I assume the correct equation was 2x - 3y = 6. Then the slope is obtained like this:

y = (6 - 2x) / (-3) = -2 + (2/3)x

Therefore, the slope is 2/3

A parallel line has the same slope

Answer 3

There should be a '+' or a '-' sign between 2x and 3y. I'll assume that it is '-'

2x - 3y = 6
i.e. 2x - 6 = 3y
i.e. (2/3)x - 2 = y

Now the equation is reduced to the form y = mx + c, where m is the slope and c is a constant.

A line parallel to the given line will have the same slope.

Hence the slope of the line is 2/3. (2)

Answer 4

a million) The slope intercept form is y = mx + b the place m = slope b = consistent (the place graph intercepts y-axis m = a million.3 y = -7 so y = a million.3x -7 the same old form is Ax + by using = C the place C is a relentless (back the place the graph crosses the y-axis) so provided that y = a million.3x - 7 rearranging supply a million.3x - y = 7 2) a) m = 4 x=-3 y= 3 substituting 3 = (- 3 * 4) +b 3 = -12 +b so b = 15 and slope intercept form is y = 4x +15 std. form is 4x - y = -15 3) right here you would be able to desire to discover the slope. slope = substitute in y / substitute in x substitute in y is 0 - 6 = -6 substitute in x is 6 ( ie. from -6 to 0) so slope is -6/6 = -a million slope intercept form is y= -x - 6 and common form is -x -y =6 or x + y = -6 you may now discover something ok.

Answer 5

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