Answer:
Linear from: y = 3x + 6
Slope intercept form: y - 2 = 3(x + 1)
Standard form: y + 2x - 2 = 0
Step-by-step explanation:
Let's examine each of the given equations:
1. [tex] y = 3x + 6 [/tex]: This is a linear equation in slope-intercept form ([tex]y = mx + b[/tex]), where [tex]m[/tex] is the slope (3) and [tex]b[/tex] is the y-intercept (6).
2. [tex] y - 2 = 3(x + 1) [/tex]: This equation is in a form similar to slope-intercept form but is rearranged. If you simplify it, you'll get [tex]y = 3x + 1[/tex], which is again a linear equation in slope-intercept form.
3. [tex] y + 2x - 2 = 0 [/tex]: This equation is in standard form, but you can rearrange it to get [tex]y = -2x + 2[/tex], which is once again a linear equation in slope-intercept form.
All the given equations are linear and represent straight lines on the coordinate plane. They are written in different forms, but they can be rearranged to the slope-intercept form, which is a common way to express linear equations.
