so were going to have a test and i only have tonight to study and were going over lines and stuff but i really need clear instrustions on how to do a point slope equation, and a standard form equation!! also some pratice problems would help too
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Don't be so hard on the kid.
We'll start with point-slope. The point-slope form is y-y1=m(x-x1). x1 and y1 are equivelent to x to the first power and y to the first power, by the way. For an example, you'll usually be given two points. Take (-2, -3) and (2, 4) for example. First you have to determine which number belongs to which x or y and to what power. -2 is the same as x1, -3 is the same as y1, 2 is the same as x2, and 4 is the same as y2. Now to set up the equation: y-4=7/4(x-2) . y will always be like that. It will never be a number. Looking at the equation, y1 is next. In the example, y1 is 4. Therefore it's y-4. If y1 was a negative, like -4, then it would become y+4 because a negative and a negative make a positive. Now add the equal sign. y-4= . M in this equation stands for slope. So, you have to find the slope. To find the slope you use the equation: y1-y2/x1-x2 = y2-y1/x2-x1 . When you imput all of the numbers from the equation, you get -3-4/-2-2 = 4+3/2+2 . Solving them should equal 7/4=7/4. So your slope is 7/4! Put it in the equation: y-4=7/4 . Next comes (x . Just like the first y, it stays like this. y-4=7/4(x . The last thing to do is to add the x1, which is 2. y-4+7/4(x-2) . And that's it!
STANDARD FORM:
The easiest way to put the equation into standard form is to first put it into slope-intercept form.
Standard form: Ax+By=C
Slope-intercept form= y=mx+b
For example, you're given the equation y=8x+4. That's already in slope-intercept form. To make it standard form, subtract 8x from both sides, moving it in front of the y. It leaves you with -8x + y= 4. And that's it. It's in standard form. A is the number in front of x, there doesn't have to be one. B is the number in front of y, there doesn't have to be one either. C is the number without a variable. To change to standard form from point-slope form: use the example y-7=2(x+3) . Distribute the 2. y-7=2x+6. Now add 7 on both sides, y=2x+13. That's in slope-intercept form. Now you can easily make it into standard form by subtracting 2x on both sides, putting it in front of the y. 2x+y=13.
I hope that helped you!
Good luck on your test~
We'll start with point-slope. The point-slope form is y-y1=m(x-x1). x1 and y1 are equivelent to x to the first power and y to the first power, by the way. For an example, you'll usually be given two points. Take (-2, -3) and (2, 4) for example. First you have to determine which number belongs to which x or y and to what power. -2 is the same as x1, -3 is the same as y1, 2 is the same as x2, and 4 is the same as y2. Now to set up the equation: y-4=7/4(x-2) . y will always be like that. It will never be a number. Looking at the equation, y1 is next. In the example, y1 is 4. Therefore it's y-4. If y1 was a negative, like -4, then it would become y+4 because a negative and a negative make a positive. Now add the equal sign. y-4= . M in this equation stands for slope. So, you have to find the slope. To find the slope you use the equation: y1-y2/x1-x2 = y2-y1/x2-x1 . When you imput all of the numbers from the equation, you get -3-4/-2-2 = 4+3/2+2 . Solving them should equal 7/4=7/4. So your slope is 7/4! Put it in the equation: y-4=7/4 . Next comes (x . Just like the first y, it stays like this. y-4=7/4(x . The last thing to do is to add the x1, which is 2. y-4+7/4(x-2) . And that's it!
STANDARD FORM:
The easiest way to put the equation into standard form is to first put it into slope-intercept form.
Standard form: Ax+By=C
Slope-intercept form= y=mx+b
For example, you're given the equation y=8x+4. That's already in slope-intercept form. To make it standard form, subtract 8x from both sides, moving it in front of the y. It leaves you with -8x + y= 4. And that's it. It's in standard form. A is the number in front of x, there doesn't have to be one. B is the number in front of y, there doesn't have to be one either. C is the number without a variable. To change to standard form from point-slope form: use the example y-7=2(x+3) . Distribute the 2. y-7=2x+6. Now add 7 on both sides, y=2x+13. That's in slope-intercept form. Now you can easily make it into standard form by subtracting 2x on both sides, putting it in front of the y. 2x+y=13.
I hope that helped you!
Good luck on your test~
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Wow
You're such a big procrastinator, you deserve to fail.
Also, god knows why you didn't bother to ask the algebra teacher for a study guide or something, that's what I did.
You're such a big procrastinator, you deserve to fail.
Also, god knows why you didn't bother to ask the algebra teacher for a study guide or something, that's what I did.