1 Answer

Christianne · Answer 1 · 2021-10-22T13:46:09+0000

Answer:

Therefore,

The three points for the line y = 0.5x - 7 ....( Red line )

point A( x₁ , y₁) ≡ ( 0 ,-7) (blue color point on the graph)

point B( x₂ , y₂) ≡ (14 , 0) (green color point on the graph)

point C(x₃ , y₃ ) ≡ (2 , -6) (purple color point on the graph)

The Graph is attached below..

Explanation:

Given:

........... equation of a line

Let the points be point A, point B,and point C

To Find:

point A( x₁ , y₁) ≡ ?

point B( x₂ , y₂) ≡ ?

point C(x₃ , y₃ ) ≡ ?

Solution:

For Drawing a graph we require minimum two points but we will have here three points.

For point A( x₁ , y₁)

Put x = 0 in the given equation we get

y = 0.5 × 0 -7

y = -7

∴ point A( x₁ , y₁) ≡ ( 0 ,-7)

For point B( x₂ , y₂)

Put y= 0 in the given equation we get

0 = 0.5x -7

∴
$x=(7)/(0.5) \\\\x=14$

∴ point B( x₂ , y₂) ≡ (14 , 0)

For point C(x₃ , y₃ )

Put x = 2 in the given equation we get

y = 0.5 × 2 - 7

y = -6

y = - 6