Question

*30 POINTS!*

Determine if each equation represents the graph below. Choose ALL correct equations. You will select more than one answer.

The options are:

1. y= 2x-1

2. x-2y =2

3. y= 1/2x - 1

4. y+3 = 1/2 (x+4)

5. y-2= 1/2 (x-2)

Answer 1

The office

Explanation:

“Would I rather be feared or loved? Easy. Both. I want people to be afraid of how much they love me.” – Michael G. Scott

Answer 2

2, 3 and 4 represent the graph in the pic

Explanation:

When you look at the graph, you can immediately tell the gradient and the y-intercept. The gradient is 1/2 and the y-intercept is -1

Hence the graph in the picture follows the formula: y = 1/2x - 1

When you expand/rearrange the options (1-5) into the slope form you would be able to see which of these options matches with the formula of the line.

1. y= 2x-1: Isn't the same as the equation of the line in the pic

2. Rearrange:

-2y = -x + 2 (divide both sides by 2)

y = x/2 - 1 (x/2 = 1/2x, its the same thing)

3. y= 1/2x - 1 (this is the formula of the line)

4. Expand right-hand-side:

y + 3 = 1/2x + 2 (rearrange)

y = 1/2x - 1 (this is the formula of the line)

5. Expand right-hand-side

y - 2 = 1/2x - 1 (rearrange)

y = 1/2x + 1 (is not the formula of the equation)