Slope-Intercept Form
Slope-intercept form is a way of writing equations that looks like this:
[tex]y=mx+b[/tex]
Usually, we use slope-intercept form for linear equations, where y is the dependent variable and x is the independent variable.
m is the slope of the line and b is the y-intercept, but this is irrelevant for this question.
Solving the Question
[tex]7m+2=7n-5[/tex]
Because we need to make m the independent variable, we must isolate n on one side of the equation.
[tex]7m+2+5=7n\\7m+7=7n\\m+1=n\\n=m+1[/tex]
Answer
[tex]n=m+1[/tex]
