how do you figure out of this is a parallel line
in y=mx+b form
-4 = y + 2x
6x + 3y = 4
thank you!
2007-11-06 12:36:03 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Think about what it means if two lines are parallel. If you plot them, they will both be at the same angle on your graph. So two lines will be parallel if they have the same slope. Now you should know what to look for.
2007-11-06 12:43:43 · answer #1 · answered by K N 123 3 · 0⤊ 0⤋
Parallel lines will have the same slope, which is the coefficient 'm' in the y=mx+b formula.
the first line, simplified as y = -2x - 4, has a slope of -2
the second, sinmplified as y = -2x + 4/3, also has a slope of -2, therefore, the lines are parallel.
2007-11-06 20:46:37 · answer #2 · answered by Anonymous · 0⤊ 0⤋
solve each equation for y
-4 = y + 2x subtract 2x to other side
-4 - 2x = y
y = -2x - 4 slope m = -2
6x + 3y = 4 subtract 6x to other side
3y = -6x + 4 divide by 3
y = -2x + 4/3 slope m = -2 and has a different y-intercept
same slope so lines are parallel
2007-11-06 20:44:23 · answer #3 · answered by Linda K 5 · 0⤊ 0⤋
slope
make the y be on the left side
the slope is the coefficient of x
if it is the same for both equations, the lines are parallel
y = -2x + 4
y = -2x + 4/3
The slope is -2 , so they are parallel
2007-11-06 20:43:03 · answer #4 · answered by ignoramus 7 · 0⤊ 0⤋