What is the equation in point-slope form of the line that passes through the point (3, −2) and has a slope of 23 ?

y + 2 = 23(x - 3)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = 23 and (a, b) = (3, - 2), hence

y + 2 = 23(x - 3) ← in point- slope form

The area of the backyard is 96 square meters.

Step-by-step explanation:

Since the backyard of the drawing is drawn with a scale in which 1cm represents 4m, assuming the backyard is rectangular, to find the area of the real backyard the following calculation must be performed, knowing that the area of a rectangle arises from multiplying its base by its height:

3 cm = 3 x 4 = 12 m

2 cm = 2 x 4 = 8 m

12m x 8m = 96 square meters

Thus, the area of the backyard is 96 square meters.