Question

Function A is represented by the equation y = -2x + 1

offering brainiest please answer quickly

Answer 1

Answer:

The correct answer is A

Step-by-step explanation:

If function B is a linear function, we can find a slope and devise an equation that will model the data.  Slope is the Rise/Run of a line, or the change in y for a change in x.  Picking any two points, we can calculate this.  I'll pick (1,1) and (6, 21).  Going from the first point to the second:

    Rise = (21 - 1) = 20

    Run = (6-1) = 5

Rise/Run. or slope = 20/5 = 4

The line has the form of y = 4x + b

We need a b value that adjusts the line to go through all points.  Put any point into the equation and solve for b:

y = 4x + b

1 = 4*1 + b

b = -3

See if this works: y = 4x - 3

1. 1:  (4*1 - 3) = 1  Yes
2. 3:  ((4*3)-3) = 9  Yes
3. 4:  (4*4)-3  =  13   Yes
4. 6:  ((4*6)-3 = 21    Yes

The equations are:

A:  y = 0-2x + 1, and               [Slope is -2}

B:  y = 4x - 3                           [Slope is -4}

The correct answer is A