Final answer:
The standard form of the given equation y+2=-5/2(x-2) is 5x + 2y = 6.
Step-by-step explanation:
The given equation is in point-slope form, which is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line.
To convert the equation to standard form, we need to eliminate the fractions. Multiply both sides of the equation by 2 to get rid of the fraction on the right side:
2(y + 2) = -5(x - 2)
Expanding and simplifying:
2y + 4 = -5x + 10
Rearranging the terms to have the variables on the left side and the constants on the right side:
5x + 2y = 6
Therefore, the standard form of the equation is 5x + 2y = 6.