Answer:
[tex]\frac{1}{2}x-y=-6[/tex]
Step-by-step explanation:
Let
[tex]A(0,6),B(4,8)[/tex] ------> 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
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
substitute
[tex]m=\frac{8-6}{4-0}[/tex]
[tex]m=\frac{2}{4}[/tex]
[tex]m=\frac{1}{2}[/tex]
Find the equation of the line into slope-intercept form
[tex]y=mx+b[/tex]
we have
[tex]m=\frac{1}{2}[/tex]
[tex]b=6[/tex] ------> remember point A
substitute
[tex]y=\frac{1}{2}x+6[/tex]
Convert to standard form
[tex]\frac{1}{2}x-y=-6[/tex]
