Answer: A
Step-by-step explanation:
The equation [tex]y=\frac{2}{3}x-1[/tex] is in slope-intercept form([tex]y=mx+b[/tex]). For a line to be parallel to another, it must have the same slope. The slope of the line given is 2/3. Thus, simply plug in 2/3 for the slope to get: [tex]y=\frac{2}{3} x+b[/tex]. Then, because the line passes through -6, 6, plug those values in for x and y, respectively. [tex]6=\frac{2}{3} *-6+b[/tex]
[tex]6=-4+b[/tex]
[tex]10=b[/tex]
Thus, the equation of the line is [tex]y = \frac{2}{3} x+10[/tex], or A
Hope it helps :D
