Question

Which steps should be used to graph the equation y – 4 = (x + 2)? 1. Plot the point (2, 4). 2. From that point, count left 3 units and down 1 unit and plot a second point. 3. Draw a line through the two points. 1. Plot the point (2, 4). 2. From that point, count left 1 unit and down 3 units and plot a second point. 3. Draw a line through the two points. 1. Plot the point (–2,4). 2. From that point, count left 3 units and down 1 unit and plot a second point. 3. Draw a line through the two points. 1. Plot the point (–2,4). 2. From that point, count left 1 unit and down 3 units and plot a second point. 3. Draw a line through the two points.

Answer 1

Option 3

Explanation:

1. Plot the point (–2,4). 2. From that point, count left 3 units and down 1 unit and plot a second point.

The slope is 1/3, the 1 being the change in y (thats why you count down 1 unit) and the 3 being the change in x (thats why you count left 3 units).

Point-slope form: y-y₁ = m (x-x₁)

So, y1 is 4 and x1 is -2. This is why you plot the point (-2, 4). In the equation, the sign for -2 is flipped because x - (-2) is the same thing as x + 2.