Question

A coordinate plane from negative 8 to 8 along the x-axis and from negative 7 to 7 along the y-axis.
Which steps should be used to graph the equation below?

y – 4 = y minus 4 equals StartFraction one-third EndFraction left-parenthesis x plus 2 right-parenthesis.(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

Correct choice: the third option.

Reason: y − 4 = (1/3)(x + 2) is point–slope form y − y1 = m(x − x1) with point (x1,y1) = (−2,4) and slope m = 1/3. From (−2,4) you can go left 3 and down 1 (run = −3 gives rise = m·run = (1/3)(−3) = −1) to get a second point, then draw the line.