What is the equation of the graphed line in standard form?

a. 12x+y=6

b. −2x+y=6

c. 12x−y=−6

d. y = 2x + 6

Step-by-step explanation:

Let

------> observing the graph

The point A is the y-intercept of the line

Find the slope

The formula to calculate the slope between two points is equal to

substitute

Find the equation of the line into slope-intercept form

we have

 ------> remember point A

substitute

Convert to standard form

x² + 23x + 49

Step-by-step explanation:

Since the area of a rectangle is: A = l x w, where l = length and w = width, we can find the overall area of the shaded region by multiplying the entire area and subtracting the smaller area of the unshaded square:

(2x + 5)(x + 10) - (x + 1)² or (2x + 5)(x + 10) - (x² + 2x + 1)

Distribute/FOIL:  

2x² + 20x + 5x + 50 - x² - 2x -1

Combine like terms:

x² + 23x + 49