Geometry math question no guessing and show work

5y + 2x = 12

Let's put this equation in y intercept form, y = mx + b. Solve this equation for y. Start by subtracting 2x from both sides.

5y = 12 - 2x

Divide both sides by 5.

y = 12/5 - 2/5x

Parallel lines have the same slopes, so that means the line that is parallel to this line must have the same slope. The slope of this line is the coefficient of the variable x.

The slope of this line is -2/5, so the line that is parallel to this line must also have a slope of -2/5.

Your answer is A) -2/5.

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.