Answer:
Correct answer: A. y = -2x + 17
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
God is with you!!!