Graph −7y+8=21x−6 . use the line tool and select two points on the line.

Given equation,

-7y + 8 = 21 x - 6,

8 + 6 = 21x + 7y

⇒ 21x + 7y = 14

Which is the equation of line,

If x = 0,

21(0) + 7y = 14

7y = 14 ⇒ y = 2

⇒ Point (0, 2) is on the line,

If y = 0,

21x + 7(0) = 14

21x = 14 ⇒ x = 2/3

⇒ Point (2/3, 0) is on the line,

Hence, we can graph the given line by joining the points (0, 2) and (2/3, 0) in the coordinate plane. ( shown below )

e. hinduismt religion first emerged on the indian subcontent

18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²