Answer:
B. [tex]y=-\frac{2}{3}x+5[/tex]
Step-by-step explanation:
Equation of a line: y=mx+b (Where m is the slope and b is the y- intercept)
Parallel lines have the same slope.
So that means that the line will have the slope [tex]-\frac{2}{3}[/tex].
So we can write the equation of the line as y= -2/3x+b
Since it goes through the point (3,3) we can plug in 3 for x and y by doing:
[tex]y=-\frac{2}{3} x+b\\3=-\frac{2}{3} (3)+b\\3=-2+b\\b=5[/tex]
Now we know the y intercept (b) we can write the equation of the line.
[tex]y=-\frac{2}{3}x+5[/tex]
