Standard Questions BV
Harder Questions
Question Progress
田中
carb
35 Marks
ABC is a right-angled triangle.
A is the point (2, 2)
B is the point (-2, -3)
C is a point on the line y = 2
a) Draw triangle ABC on the centimetre grid.

-2
b) Work out the area of triangle ABC.​

answer: the correct answer is -32

step-by-step explanation:

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