Choose the equation below that represents the line passing through the point (2, -4) with a slope of [tex]\frac{1}{2}[/tex].

A) [tex]y = \frac{1}{2}x + 5[/tex]
B) [tex]y = \frac{1}{2}x - 3[/tex]
C) [tex]y = \frac{1}{2}x - 5[/tex]
D) [tex]y = \frac{1}{2}x + 3[/tex]

Choose the equation below that represents the line passing through the point (2, -4) with a slope of 1/2.
A) y = 1/2 x + 5
B) y = 1/2 x - 3
C) y = 1/2 x - 5
D) y = 1/2 x + 3
we only need to put the values and find the equation
y = 2 1 ​ ∗ x + 5
− 4 = 2 1 ​ ∗ 2 + 5
− 4 = 6
False
y = ​ ∗ x − 3
y = 2 1 ​ ∗ x − 3
− 4 = 2 1 ​ ∗ 2 − 3
− 4 = − 2
False
y = 2 1 ​ ∗ x − 5
− 4 = 2 1 ​ ∗ 2 − 5
− 4 = − 4
True
y = 2 1 ​ ∗ x + 3
− 4 = 2 1 ​ ∗ 2 + 3
− 4 = 4
False
∴ t h e e q u a t i o n t ha t re p rese n t s t h e l in e i s C ​ ​

Answered by D3xt3R | 2024-06-10

{ x = 2 y = − 4 ​ A ) − 4 = 2 1 ​ ⋅ 2 + 5 − 4 = 1 + 5 − 4 = 6 N o B ) − 4 = 2 1 ​ ⋅ 2 − 3 − 4 = 1 − 3 − 4 = − 2 N o C ) − 4 2 1 ​ ⋅ 2 − 5 − 4 = 1 − 5 − 4 = − 4 Y es D ) − 4 = 2 1 ​ ⋅ 2 + 3 − 4 = 1 + 3 − 4 = 4 N o A n s w er : C

Answered by tomek1172 | 2024-06-10

The equation of the line passing through the point (2, -4) with a slope of 2 1 ​ is y = 2 1 ​ x − 5 . Therefore, the correct option is C. This was determined using the point-slope form of a linear equation.
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Answered by D3xt3R | 2024-12-26