Write an equation of the line passing through point p(4, 0)
that is parallel to the line −x+2y = 12

y=

Step-by-step explanation:

y =

if it goes through 4,0 and has a gradient of x/2 the y-int is at -2.

therefore, y=

Step-by-step explanation:

The slope-intercept form of an equation of a line:

m - slope

b - y-intercept

Let

Parallel lines have the same slope.

Convert given equation of a line to the slope-intercept form:

        add x to both sides

        divide both sides by 2

The slope

We have

Put the coordinates of the given point P(4, 0) to the equation:

             subtract 2 from both sides

Finally we have:

Convert to the standard form (Ax + By = C):

         multiply both sides by 2

        subtract x from both sides

1/800 is the right answer

9 sandwiches per hour

step-by-step explanation:

when we have a rate, we want a 1 in the denominator

27/3 = 9

27 sandwiches/ 3 hours = 9 sandwiches/hour