10. What is the equation of a line that passes through the point (4, 1) and is parallel to the line 2x - y = 42 A. y = 2x + 2 B.
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Answer:
y = 2x + 11
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 7, - 3) and (x₂, y₂ ) = (- 3, 5)
m = =
= 2, thus
y = 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation.
Using (- 3, 5 ), then
5 = - 6 + c ⇒ c = 5 + 6 = 11
y = 2x + 11 ← equation of line