Question

Consider the rule (the equation) y=3x. Complete: “From a point on this line, one can go __ units upward and then __ units to the right to get to another point on that line. Solve on paper and (if suitable) provide a written answer here.

a) 3, 1
b) 1, 3
c) -3, 1
d) -1, 3

Answer 1

The slope of the line represented by the equation y = 3x is 3, which means to move from one point to another on the line, one must go 3 units up and 1 unit to the right.

Step-by-step explanation:

The equation given is y = 3x, which represents a straight line with a slope of 3. The concept of a slope is crucial here as it describes the steepness of a line and is calculated as the rise over the run. In this context, the slope of the line, which is 3, means that for every 1 unit you go to the right (along the x-axis), you need to go up by 3 units (along the y-axis) to stay on the line. Therefore, from any point on this line, one can go 3 units upward and then 1 unit to the right to get to another point on the same line.