Find the distance between the two points rounding to the nearest tenth (if necessary).
(8, -3) and (4, 6)

d = 9.8

Step-by-step explanation:

Use the distance formula.

d = √(x2 - x1)^2 + (y2 - y1)^2

d = √(4 - 8)^2 + (6 - (-3))^2

d = √(-4)^2 + 9^2

d = √97

d = 9.8

Step-by-step explanation:

The distance is calculated using the formula d=√(x2-x1)²+(y2-y1)²

The first thing to do is subtract to find the necessary values.

X 8 - 4 = 4

Y -3 - 6 = -9

d=√(4)²+(9)²

d=√(16 + 81)

d=√97

d = 9.8488578018 or 9.8

b

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

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b