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Rite an equation of a line parallel to line EF in slope-intercept form that passes through the point (2, 6).

E
Oy=2x+3
Oy = 3x + 6
F
Oy=-3x+23
Oy=-3x+6
22

User Bal Chua
by
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1 Answer

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The equation of a line parallel to line EF in slope-intercept form is Oy = 2x + b, where b is the y-intercept.

To determine the value of b, we will use the fact that this line passes through the point (2, 6).

Plugging in the x-coordinate of the point (2, 6) into the equation Oy = 2x + b, we get:

6 = 2(2) + b

6 = 4 + b

Subtracting 4 from both sides, we get:

2 = b

Therefore, the equation of the line parallel to line EF in slope-intercept form that passes through the point (2, 6) is:

Oy = 2x + 2.

User Faraz Irfan
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