Answer:
\(\frac{1}{2}x-y=-6\)
Step-by-step explanation:
Let
\(A(0,6),B(4,8)\) ------> observing the graph
The point A is the y-intercept of the line
Find the slope
The formula to calculate the slope between two points is equal to
\(m=\frac{y2-y1}{x2-x1}\)
substitute
\(m=\frac{8-6}{4-0}\)
\(m=\frac{2}{4}\)
\(m=\frac{1}{2}\)
Find the equation of the line into slope-intercept form
\(y=mx+b\)
we have
\(m=\frac{1}{2}\)
\(b=6\) ------> remember point A
substitute
\(y=\frac{1}{2}x+6\)
Convert to standard form
\(\frac{1}{2}x-y=-6\)
