Slope-Intercept Form Explained: Plotting A Straight Line With The Equation Y = 2X – 1 On A Graph

y = 2x – 1

What is the rule for the function?

The given equation y = 2x – 1 is in slope-intercept form, which is a commonly used form of the equation of a straight line. Here’s what this form of the equation means:

– The slope of the line is the number that is multiplied by x. In this case, the slope is 2.
– The y-intercept of the line is the value of y when x = 0. In this case, the y-intercept is -1.

To plot this line on a graph, you can start at the y-intercept of -1 and then use the slope of 2 to find other points on the line. Here’s how:

– At x = 0, y = -1. This is the y-intercept of the line.
– To find another point on the line, you can move 1 unit to the right (since the slope is 2) and 2 units up (since the slope is 2x). This gives the point (1, 1).
– You can continue this process to find more points on the line if you wish.

Note that this line will extend infinitely in both directions, and any point on the line will satisfy the equation y = 2x – 1.

More Answers: