The slope-intercept form is [tex]y=\frac{7}{3}x+4[/tex].
Important information:
- The given equation is [tex]7x=3y-12[/tex].
Slope intercept form:
The slope-intercept form of a line is:
[tex]y=mx+b[/tex]
where,
- [tex]m[/tex] is the slope.
- [tex]b[/tex] is the y-intercept.
The given equation can be written as:
[tex]7x+12=3y[/tex]
Divide both sides by 3.
[tex]\dfrac{7x+12}{3}=\dfrac{3y}{3}[/tex]
[tex]\frac{7}{3}x+4=y[/tex]
Thus, the slope-intercept form is [tex]y=\frac{7}{3}x+4[/tex].
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