Write an equation of a line that passes through the point (7, 3) and is parallel to the line y = -2/3 x + 3
A. y = 3/2 x -3
B. y = 3/2 x +3
C. y = -2/3 x + 23/3
D. y= -2/3 x - 23/3

Question

Write an equation of a line that passes through the point (7, 3) and is parallel to the line y = -2/3 x + 3
A. y = 3/2 x -3 
B. y = 3/2 x +3
C. y = -2/3 x + 23/3
D. y= -2/3 x - 23/3

anonymous · Answer

@Abmon98

texaschic101 · Answer

do you know what the slope is in the equation y = -2/3x + 3 ?

anonymous · Answer

-2/3 correct? @texaschic101

texaschic101 · Answer

correct. A parallel line will have the same slope.
now use y = mx + b
slope(m) = -2/3
(7,3)  x = 7 and y = 3
now we sub and solve for b
3 = -2/3(7) + b
3 = -14/3 + b
3 + 14/3 = b
9/3 + 14/3 = b
23/3 = b
so your parallel equation is : y = -2/3x + 23/3
any questions ?

anonymous · Answer

Oh yeah! That makes sense. I forgot that all parallel lines have the same slope. That's really easy, basically just plugging in numbers. My brain really doesn't work in the mornings -_- Thank you! @texaschic101

texaschic101 · Answer

lol...my brain sometimes does and sometimes doesn't. This morning, my brain seems to be doing ok :)