Question

Dentify the function shown in this graph

A. y = −x + 3
B. y=-3x-3
C. y = 3x - 3
D. y=-3x+3

Answer 1

B

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 =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, - 3) ← 2 points on the line

m =
`(-3-0)/(0-(-1))` =
`(-3)/(0+1)` =
`(-3)/(1)` = - 3

the line crosses the y- axis at (0, - 3 ) ⇒ c = - 3

y = - 3x - 3 ← equation of line