Answer: y = - 2 x + 16
Step-by-step explanation:
Find the slope of the parallel line
(7, 2) and is parallel to y= -2x+1?
When two lines are parallel, they have the same slope.
⇒ if the slope of the given line is = - 2
then the slope of the parallel line (m) = - 2
Determine the equation
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:
⇒ y - 2 = - 2 (x - 7)
We can therefore write the equation in the slope-intercept form by making y the subject of the equation and expanding the bracket to simplify:
since y - 2 = - 2 (x - 7)
∴ y = - 2 x + 16
