Question

write the equation in slope intercept form of the line that passes through -1, 11 and is parallel to the graph of y = -8x + 3

Answer 1

Answer: The line from the question [ y = -8x + 3 ] passes through the point ( -1, 11 ).

Step-by-step explanation:

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 ).