Respuesta :

Y = 2/3x + 14/3
The slope is from the slope formula and you can substitute points to find b.

Answer: Our equation in point-slope form is

[tex]\frac{2x}{3}+\frac{14}{3}[/tex]

Explanation:

Since we have given that

there are two points  i.e.

[tex](8,10)\ and\ (-4,2)[/tex]

Equation of point slope form :

[tex]y-y_0=m(x-x_0)\\\\where,\\\\m=\frac{y_2-y_1}{x_2-x_1}[/tex]

So, we will first calculate slope of tangent i.e. m

[tex]m=\frac{2-10}{-4-8}\\m=\frac{-8}{-12}\\m=\frac{2}{3}[/tex]

So, equation of line in point-slope form is

[tex](y-10)=\frac{2}{3}(x-8)\\\\3(y-10)=2(x-8)\\\\3y-30=2x-16\\\\3y-2x=-16+30\\\\3y-2x=14\\\\y=\frac{2x}{3}+\frac{14}{3}[/tex]

Hence, our equation in point-slope form is

[tex]\frac{2x}{3}+\frac{14}{3}[/tex]