Answer:
the graph is attached below
Step-by-step explanation:
Graph [tex]y-2=\frac{-3}{4} (x-6)[/tex] using the point and slope given in the equation.
The equation of the line is y=mx+b where m is the slope and b is the y intercept
Solve the given equation for y
[tex]y-2=\frac{-3}{4} (x-6)[/tex]
[tex]y-2=\frac{-3}{4}x+\frac{9}{2}[/tex]
Now add 2 on both sides
[tex]y=\frac{-3}{4}x+\frac{13}{2}[/tex]
The slope of the line is -3/4
y intercept b is 13/2
Start graphing at y intercept is (0,13/2)
Then use slope -3/4 is rise /run
rise = -3 and run =4
Move down 3 units and move 4 units to the right
The graph is attached below
