Which is the graph of the linear function that is represented by the equation y = one-half x minus 2? On a coordinate plane, a line goes through points (negative 1, 0) and (0, 2). On a coordinate plane, a line goes through points (negative 2, 0) and (0, 1). On a coordinate plane, a line goes through points (0, negative 2) and (4, 0). On a coordinate plane, a line goes through points (0, negative 2) and (1, 0).
Answers
Given : y = (1/2)x - 2
To Find : which Graph represent y = (1/2)x - 2
On a coordinate plane, a line goes through points (negative 1, 0) and (0, 2). On a coordinate plane, a line goes through points (negative 2, 0) and (0, 1). On a coordinate plane, a line goes through points (0, negative 2) and (4, 0). On a coordinate plane, a line goes through points (0, negative 2) and (1, 0).
Solution:
y = (1/2)x - 2
(- 1 , 0) and (0, 2)
slope = 2
y - 0 = 2(x +1 )
=> y = 2x + 2
(-2 , 0) and (0, 1)
Slope = 1/2
y - 0 = (1/2)(x + 2)
=> y = (1/2)x + 1
(0, -2) and (4, 0).
slope = 2/4 = 1/2
y - 0 = (1/2)(x - 4)
= y = (1/2)x - 2
Matches with Given Equation
(0, -2) and (1, 0).
Slope = 2
y - 0 = 2(x - 1)
=> y = 2x - 2
On a coordinate plane, a line goes through points (0, negative 2) and (4, 0).
represents y = (1/2)x - 2
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