[tex]y= - \frac{1}{3} z +2[/tex] is slope intercept form of given equation.
How do you write slope intercept form?
- Y = mx+b, where m is the slope and b is the y-intercept, is the formula for the slope-intercept form (the point where the line crosses the y-axis). Using y=mx+b to graph a line is typically simple. The standard form and the point-slope form are other formats for linear equations.
- Y equals mx plus b is actually the slope intercept form. Because it provides both a slope and an intercept, the form is known as a slope intercept form.
Given liner equation :
[tex]\frac{1}{3} z + y = 2[/tex]
[tex]y = 2 - \frac{1}{3} z[/tex]
[tex]y= - \frac{1}{3} z +2[/tex]
To learn more about slope intercept form refer,
https://brainly.com/question/1884491
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