What is the equation of the line that is parallel to y = -2x + 4 and goes through the point (1,7)? Write your answer in slope-intercept form

Question

What is the equation of the line that is parallel to y = -2x + 4 and goes through the point (1,7)? Write your answer in slope-intercept form

Answer 1

Parallel lines has the same slope, hence the slope of the line in question is -2  (y = mx + c)

 

(y - y₁)/(x - x₁) = m   or   y - y₁ = m(x - x₁)

 

y - 7 = -2(x - 1)

 

y - 7 = -2x + 2

 

y = -2x + 9