Find the slope of the parallel line
When two lines are parallel, they have the same slope.
⇒ if the slope of this line = - 8
then the slope of the parallel line (m) = - 8
Determine the equation
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:
⇒ y - 11 = - 8 (x - (-1))
∴ y - 11 = - 8 (x + 1)
We can also write the equation in the slope-intercept form by making y the subject of the equation and expanding the bracket to simplify:
since y - 11 = - 8 (x + 1)
y = - 8 x + 3
The line from the question [ y = -8x + 3 ] passes through the point ( -1, 11 ).
