Question

B) The diagram shows a straight line L.

i) Find the equation of line L.​

Answer 1

y = - 2x + 6

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m =
`\frac{y_(2)-y_(1) }{x_{2-x_(1) } }`

with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (3, 0) ← 2 points on the line

m =
`(0-6)/(3-0)` =
`(-6)/(3)` = - 2

The line crosses the y- axis at (0, 6 ) ⇒ c = 6

y = - 2x + 6 ← equation of line