Need with this math. find the slope of a line that contains the points (5,6) (1, 4).

1/2

Step-by-step explanation:

The slope of a line is defined as ...

slope = (change in y)/(change in x)

Given two points, (x1, y1) and (x2, y2), the slope can be computed using ...

slope = (y2 -y1)/(x2 -x1)

It does not matter which points you call point 1 and point 2. You just need to be consistent.

Using the point values in the order given in the problem statement, we have ...

slope = (4 -6)/(1 -5) = -2/-4

slope = 1/2

y + 11 = (1/4)(x + 16)

step-by-step explanation:

let x and 400 - x be the two numbers.  

==> 0.80x + 0.85(400 - x) = 400 - 68 from the statement of the problem.  

< ==> 0.80x + 0.85(400 - x) = 400 - 68  

==> 340 - 0.05x = 332  

< ==> -0.05x = -8 ==> x = 160, the first number ==> 400 - x = 240, the second number.