Question

Linda cut a piece of wood for project the first cut is Shawn and can be represented by the equation Y=1/4x-5 Lisa can’t cut needs to be parallel to the first it will pass through the point (0,4) identify the equation that represents Lynda second cut

Answer 1

Lisa's cut will be represented by the equation y = 1/4x + 4

Answer 2

Equation of Linda's cut ,which is a equation of line is:

`y=(x)/(4)-5`

----------------------(1)

Equation of any line parallel to line ,

y= m x + c is, y= m x + p

Where c, is Y intercept of first line, and p is y intercept of second line,which is parallel to first line.

Only Y intercept changes, when two lines are parallel.

Equation of line parallel to line 1, is

`y=(x)/(4)+k`

Since ,it is given that Second line passes through point (0,4).

4=0 + k

k=4

So, equation of line parallel to line
`y=(x)/(4)-5` which passes through (0,4) is
`y=(x)/(4)+4`.