Answer:
The answer in the attached figure
Step-by-step explanation:
we know that
The equation of the line in point-slope form is equal to
\(y-y1=m(x-x1)\)
we have
\(A(2,4)\ B(5,6)\)
Step 1
Find the slope of the line m
The formula to calculate the slope is equal to
\(m=\frac{y2-y1}{x2-x1}\)
Substitute the values
\(m=\frac{6-4}{5-2}\)
\(m=\frac{2}{3}\)
Step 2
Find the equation of the line with point A and the slope m
we have
\(m=\frac{2}{3}\)
\(A(2,4)\)
Substitute the values
\(y-4=\frac{2}{3}(x-2)\)
Step 3
Find the equation of the line with point B and the slope m
we have
\(m=\frac{2}{3}\)
\(B(5,6)\)
Substitute the values
\(y-6=\frac{2}{3}(x-5)\)
