determine which 2 equations are parallel...please help and show work so i can have a better understanding...thanks.
a. y=3x-5
b. y=4x+5
c. y=1/4x+5
d. y=-4x+9
2007-08-24 18:42:04 · 5 answers · asked by lele 2 in Science & Mathematics ➔ Mathematics
The equation of a straight line is:-
y = mx + c
The slope (gradient) of the line is m.
Lines with the same gradient are parallel.
In the options given , the gradients are all different so no lines are parallel.
2007-08-24 19:45:11 · answer #1 · answered by Como 7 · 1⤊ 0⤋
None of the them are parallel. To be parallel, two equations have to have the same slope. (How much the y goes up for every x) The slope is the number right in front of the x. In a, it's 3, which means for every 3 points the graph climbs, it goes to the right 1 point. In b, it's 4. In c, it's 1/4. In d, it's -4. B and c would be parallel if they were both negative or both positive, but since they aren't, they cross.
2007-08-24 18:51:55 · answer #2 · answered by andrea_bocelli_fan1 3 · 0⤊ 0⤋
None are, actually.
Parallel lines whose equations are of the form y=mx+b have identical slopes. The slope is the value of m.
Here, the 4 slopes are 3, 4, 1/4, and -4. No parallel lines.
2007-08-24 18:49:23 · answer #3 · answered by Red_Wings_For_Cup 3 · 0⤊ 0⤋
To determine if lines are parallel, their slopes must be equal. In an equation in slope-intercept form, y = mx + b, m stands for slope. Therefore, no pair of lines are parallel in your given equations since they have unique m's.
2007-08-24 18:51:45 · answer #4 · answered by wolfwood 2 · 0⤊ 0⤋
I'm not going to give you the answer. But, it will be obvious once you search for the slope, represented by the variable m.
Because two of these have the same slope, and they cross the y-axis at different points (variable b), they will never cross. They are parallel.
2007-08-24 18:48:43 · answer #5 · answered by silverlock1974 4 · 0⤊ 0⤋