Question

What is the equation of the line through (8, 1) that is parallel to y = -2x + 5?

Answer 1

Answer:

Correct answer:  A. y = -2x + 17

Step-by-step explanation:

Given:

Some point A(8, 1) through which the required line passes

y = -2x + 5 the equation of the line with which the required line is parallel

y = a x + b  the equation of the required line

where a is a slope and b is intercept on the y axis

If the two straight line are parallel then their slopes are equal:

a = -2  

If in the equation of the required line we replace the coordinates of the given point and the slope a we get:

1 = -2 · 8 + b = - 16 + b  ⇒ b = 17

The equation of the required line is:

y = - 2x + 17

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