Respuesta :

Answer:

Slope= 3/11

Step-by-step explanation:

Slope formula= [tex]\frac{y2-y1}{x2-x1}[/tex]

Use the points (-8, 2) and (3,5)

[tex]\frac{5-2}{3-(-8)}[/tex] = [tex]\frac{3}{3+8}[/tex] = [tex]\frac{3}{11}[/tex]

Slope= [tex]\frac{3}{11}[/tex]

Use point-slope to find the equation

y-y1=m(x-x1)

*Use the slope (previously found) as m, and (3,5) as your point (x,y)*

y-5=[tex]\frac{3}{11}[/tex](x-3)

y-5=[tex]\frac{3}{11}[/tex]x-3[tex]\frac{3}{11}[/tex]

 +5      +5

y=[tex]\frac{3}{11}[/tex]x+2[tex]\frac{3}{11}[/tex]