Find the slope of a line perpendicular to each given line.
—x = 6 — Зу

  -3

Step-by-step explanation:

Solve the equation for y to find the slope of the given line:

  1/3x = -2 +y . . . . . divide by -3

  y = 1/3x +2 . . . . . the slope is 1/3. (The slope is the coefficient of x.)

The perpendicular line will have a slope that is the negative reciprocal of this:

  desired slope = -1/(1/3) = -3

The perpendicular line has a slope of -3.

Comment on the solution

You may have noticed that when x and y are on opposite sides of the equal sign, the slope is the coefficient of x when the coefficient of y is 1. We don't actually need to move the constant in order to identify the slope of the given line.

answer: the 4 kilogram bag

step-by-step explanation: this is because if you divide the number of kilograms into the total it will tell you how much each individual kilogram would be worth. 2 kilos is 7 and change 3 would be around 6 ish and the 4 kilo would be 4.6 and change and the 5 kilos would be like 4.88

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions