Some points on this line are:x 0 1 2 3y –1 1 3 5The equation for this straight line is y = 2x – 1.Another way to write this equation is:

The equation of the line can be expressed in several different forms. The standard forms to express a linear equation are:

1. Slope-Intercept Form: This is the form already given, which is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.
2. Point-Slope Form: This form is useful for writing the equation of a line when you know a point on the line and its slope, represented as $y - y_1 = m(x - x_1)$.
3. Standard Form: This is another way to present the equation, often in the format $Ax + By = C$, where $A$, $B$, and $C$ are integers.

Another Way to Write the Equation $y = 2x - 1$

1. Point-Slope Form: To transform to point-slope form using a point on the line, take the point $(0, -1)$ (when $x = 0$, $y = -1$): $y - (-1) = 2(x - 0) \implies y + 1 = 2x$

2. Standard Form: Rearranging the slope-intercept form to standard form: $2x - y = 1$

Final Answer

The equation for the line can also be written in point-slope form as $y + 1 = 2x$ or in standard form as $2x - y = 1$.