Which function is graphed on the right? y = 2x+3 – 2 y = 2x–3 + 2 y = 2x–2 + 3 y = 2x–2 – 3 On a coordinate plane, an exponentia
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B
Establish the equation of the line in slope-intercept form
y = mx + c ( m is the slope and c the y-intercept )
to calculate m use the gradient formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁) = (- 3, - 3 ) and (x₂, y₂) = (3, - 1) ← 2 points on the line
m = =
=
the y-intercept is (0 , - 2 ) ⇒ c = - 2
y = x - 2 ← equation of line
This is a strict inequality since the line is broken, hence
y > x - 2 → B