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1.what is the slope of the line passing through the points (1,0) and (8,49)

2. solve the following equation unless the equation is inconsistent or the equations are dependent

x=9/4y+6
4x-9y=25

3. what is the slope of the line passing through the points (11,4) and (0,0)

4. determine whether the graphs of the line are parellel perpindicular or niether

5. write the equation of the line that passes through the point and is parellell to the given line (0,8) 2y-4x=3

2007-05-14 16:16:45 · 7 answers · asked by Eclipse 5 in Science & Mathematics Mathematics

for number 4 it is

8x+5y=1
5x-8y=8

2007-05-14 16:28:45 · update #1

7 answers

Hello,

1. to find the slope find (y2-y1)/(x2-x1) or ((49-0)/((8-1) = 7

2. put 9/4y + 6 in for x in the second equation giving us

4(9/4y + 6) -9y = 25 or
9y + 24 -9y = 25

so 24 = 25 which is impossible hence we have no solution.

3. like 1. (0-4)/(0-11) or 4/11

4. Don't know what the lines are, but if they have the same slope they are parallel and if the slope of one is -1 time the reciprocal of the slope of other they are perpendicular

5. Solve the equation for y putting it into slope intercept form giving us

2y = 4x + 3 or y = 2x + 3/2

The slope is 2. Now to be parallel they must have the same slope so the slope of the second one is also 2 so we have
y = 2x + b and putting in the point x = 0 and y = 8 gives us

8 = b so the equation is y = 2x + 8

Hope This Helps.

2007-05-14 16:30:02 · answer #1 · answered by CipherMan 5 · 0 0

1. Given two points you can find slope with m = (y2 - y1) / (x2 - x1)
m = (49 - 0) / ( 8 - 1) = 49/7 = 7
Now with slope and a point use point slope form
y - y1 = m(x - x1)
y - 0 = 7(x - 1)
y = 7x - 7

2. Use substitution
x = (9/4)y + 6
4x - 9y = 25
4((9/4)y + 6) - 9y = 25
9y + 24 - 9y = 25
24 = 25 ? No, so these two lines are parallel and never meet

5. Since
2y - 4x = 3
2y = 4x + 3
y = 2x + 3/2
then m = 2

Use point-slope

y - y1 = m(x - x1)
y - 8 = 2(x - 0)
y - 8 = 2x
y = 2x + 8

2007-05-14 16:27:30 · answer #2 · answered by Poetland 6 · 0 0

1. Slope = y2 - y1/ x2-x1 where (x1,y1) and (x2,y2) are points on the line. Go to it.
2. Put the first equation in ax + by = c format, and multiply both sides by 4. I think you can see what happens.
3. Same as #1.
4. No see-ee, no do-ee
5. Take the equation of the "given line" and rearrange to y = Mx + B format. M is the slope of the line you want. The line will pass thru 0,8, so
8 = M(0) + b, where b is the intercept. You can find M and b, so you have the line.

2007-05-14 16:25:41 · answer #3 · answered by cattbarf 7 · 0 0

slope formula, m=y2-y1 divided by x2-x1
1. m=49-0 / 8-1, m=7
4. parallel lines have equal slopes. If 2 lines are perpendicular, the slope of one will be the negative reciprocal of the slope of the other

2007-05-14 16:39:08 · answer #4 · answered by mago 5 · 0 0

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2016-12-29 04:51:45 · answer #5 · answered by hassinger 3 · 0 0

7
?
4/11
y-8 = 2x

2007-05-14 16:21:40 · answer #6 · answered by bz2hcy 3 · 0 0

Are you in Algebra I? thats really easy im in Algebra II and its kinda easy im in 8th grade

2007-05-14 16:19:31 · answer #7 · answered by Cristal 2 · 0 0

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