Question

On a piece of graph paper, plot the following points: (2, 1). Name another point on that same line that has a slope of 1/2.

Answer 1

To find a new point on the line with a slope of 1/2 from the given point (2, 1), move 1 unit up and 2 units right to arrive at the new point (4, 2).

Step-by-step explanation:

To find another point on a line given a point (2, 1) and a slope of 1/2, we can use the slope formula which is (rise over run). Since the slope is the change in y divided by the change in x, for a slope of 1/2, we can move 1 unit up (rise) and 2 units to the right (run) from our initial point (2, 1).

Starting at (2, 1) and applying the slope:

• Move 1 unit up: y = 1 + 1 = 2
• Move 2 units right: x = 2 + 2 = 4

So, the new point that lies on the same line with a slope of 1/2 would be (4, 2).