Answer:
[tex]y=(-4/3)x+5[/tex]
Step-by-step explanation:
so you want to start by using y=mx+b
step one: find the slope (remember m is the slope in this)
m= [tex]\frac{y2-y1}{x2-x1}[/tex]
m= [tex]\frac{5+3}{0-6}[/tex]
m= [tex]\frac{8}{-6}[/tex]
m= - [tex]\frac{4}{3\\}[/tex]
step two: insert the value we found for m into the equation and take one of the given points and insert the x and y into the equation (im using (0,5)) and solve for b.
y=mx+b
5= -4/3(0)+b
5=b
step three: rewrite y=mx+b with the values we found for m and for b
[tex]y=(-4/3)x+5[/tex]
