What is the equation of a line that passes through the point (4, 1) and is parallel to the line 2x - y = 4?
A. y = 2x + 2
B. y = 2x - 7
C. y = -2x + 6
D. y = -2x + 9

Question

What is the equation of a line that passes through the point (4, 1) and is parallel to the line 2x - y = 4? A. y = 2x + 2 B. y = 2x - 7 C. y = -2x + 6 D. y = -2x + 9

SnapAndSolve AI · Accepted Answer

To find the equation of a line parallel to 2x - y = 4, we first rewrite it in slope-intercept form (y = mx + b):

2x - y = 4 becomes y = 2x - 4.

The slope (m) is 2. A parallel line will have the same slope.

Using the point (4, 1) and the slope 2, we use the point-slope form: y - y₁ = m(x - x₁).

y - 1 = 2(x - 4)

y - 1 = 2x - 8

y = 2x - 7

B. y = 2x - 7

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What is the equation of a line that passes through the point (4, 1) and is parallel to the line 2x - y = 4?

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