Find an equation for the line that passes through the point (2, -5) and is parallel to the x-axis and is parallel to the y-axis and is parallel to the line 2x - 4y = 3

Answer 1

how can a single line be parallel to both perpendicular axes?

I'll assume you mean it's parallel to 2x-4y=3.

In that case, the slope is 1/2, so the line is

y+5 = 1/2 (x-2)

Answer 2

Sorry I meant
Find an equation for the line that passes through the point (2, -5) and is parallel to the x-axis

Find an equation for the line that passes through the point (2, -5) and is parallel to the y-axis

Find an equation for the line that passes through the point (2, -5) and is parallel to the line 2x - 4y = 3

Answer 3

the equation of a line parallel to the x-axis has the equation y = k. Since your line goes through (2,-5), you obviously want y = -5.

Similarly for the line parallel to the y-axis.

Answer 4

it has a slope of -3 the line that passes through the point (2, -5)

Answer 5

the line with slope of -3 through (2,-5) is

y+5 = -3(x-2)

Learn the various forms of equations for a line; it will come in handy many times in the future.