Write a equation that is parallel to y = -4x + 5 and passes through the point ( -2, -1 ).

The equation of the line is

Step-by-step explanation:

If we want our line to be parallel to , then it must have the same slope.

The slope of is -4, thus the equation of our parallel line is of the form:

Where is the y-intercept of the line.

Now we know that the point lies on the parallel line thus it must be true that:

From this equation we get the value of

Thus the equation of our parallel line becomes:

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints