create an equation of a line, in slope-intercept form, parallel to 2x-5y=7?

Answer 1

In slope-intercept form, 2x - 5y = 7 becomes:
y = 2x/5 - 7/5, showing that the gradient is 2/5.
y = 2x / 5 is therefore a parallel line.

Answer 2

First I'd convert that equation to slope intercept

y=mx+b


I'll do it in steps

1. solve for y

2x - 5y = 7

-5y = 7 - 2x
5y = 2x - 7
y = (2/5)x - (7/2)

2. The slope is (2/5) and the y intercept is -(7/2)
if the lines are to be parallel, then the slope must be the same for both. The Y intercept, however, should be different.
You can change the Y intercept to anything except -3.5.

So a line parallel to the given line could be

y = (2/5)x +1


And that's your answer.

Answer 3

Slope intercept form is: y = mx + b

2x - 5y = 7
2x - 7 = 5y
2x/5 - 7/5 = y

Two lines are parallel if they have the same slope.

So, you can use any number in place of (-7/5) in the equation above.

2x/5 = y
2x/5 -1 = y
2x/5 +1 = y
etc.

Answer 4

2x-5y=7
-2x -2x

-5y=-2x+7
divide both sides by -5

y=-2/-5x+7/-5

y=2/5x + -7/5