Answer:
y=x+3
Step-by-step explanation:
Start with the slope equation [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
Since the first point is actually further along the x-axis that x-value becomes [tex]x_{2}[/tex] and its corresponding y-value is [tex]y_{2}[/tex]
[tex]\frac{9-8}{6-5}[/tex]=[tex]\frac{1}{1}[/tex]
The slope for the equation is just one so now find the y-intercept by rearranging the slope-intercept equation.
y=mx+b
y-mx=b
Now Substitute either point in to find b
9-1(6)=b
9-6=b
b=3
Your y-intercept is 3 so now we can write the slope-intercept equation for the two points:
y=x+3
