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]