Answer:
[tex]y=\frac{3}{10} x-\frac{16}{5}[/tex]
Step-by-step explanation:
Equation for slope:
[tex]m=\frac{y_{1}- y_{2} }{x_{1}- x_{2} }[/tex]
Substitute in your x and y values:
[tex]m=\frac{-2+5}{4+6} \\ m=\frac{3}{10}[/tex]
Now write the equation:
[tex]y=\frac{3}{10} x[/tex]
this is not done yet though since it does not work:
[tex]-2=\frac{3}{10} *4\\-2=1\frac{1}{5}[/tex]
so we add the y- intercept [tex]b[/tex] to make the equation equal:
[tex]-2=1\frac{1}{5}+b[/tex]
From here we solve for [tex]b[/tex]:
[tex]b=-\frac{16}{5}[/tex]
[tex]y=\frac{3}{10} x-\frac{16}{5}[/tex]
