Final answer:
To write the equation 2x-3y=1470 in slope-intercept form, subtract 2x from both sides of the equation and divide by -3 to solve for y. The resulting equation is y=2/3x-490.
Step-by-step explanation:
To write the equation 2x-3y=1470 in slope-intercept form, we need to solve for y.
First, let's isolate y by subtracting 2x from both sides of the equation:
-3y = -2x + 1470
Next, divide both sides of the equation by -3:
y = (-2/-3) x + (-1470/-3)
Simplifying further:
y = 2/3x - 490
Therefore, the equation in slope-intercept form is y = 2/3x - 490.