Math Help - Graphs & Functions

1. Graphs & Functions

Hi Guys

I missed a week of school due to going on a holiday and i got a maths test this wednesday, which the teacher is not giving me extra time to study for. He gave 2 practice questions on what we have been doing, but not a worked out example. If you guys can please answear this questions for me as i don't understand them. Also im in year 11 Maths Methods, the questions are:

1. Find the standard form of the equation of the circle for which the endpoints of a diameter are (-2,3) and (4,-10)

2. Write the slope-intercepts forms of the equation of the lines through the point (-8,3) and
(a) parallel
(b) perpendicular

To the line 2x+3y=5

Worked solutions to this questions will be truely appriciated, if you can please answear as quick as possible because i need move on to question 3 & 4 which are more difficult then these, which i dont have a understanding of. please help

3. Re: Graphs & Functions

highvoltage you are a legend, thanks for taking your own time to help with this, I'm truely greatful

4. Re: Graphs & Functions

Originally Posted by iFuuZe
Hi Guys

I missed a week of school due to going on a holiday and i got a maths test this wednesday, which the teacher is not giving me extra time to study for. He gave 2 practice questions on what we have been doing, but not a worked out example. If you guys can please answear this questions for me as i don't understand them. Also im in year 11 Maths Methods, the questions are:

1. Find the standard form of the equation of the circle for which the endpoints of a diameter are (-2,3) and (4,-10)

2. Write the slope-intercepts forms of the equation of the lines through the point (-8,3) and
(a) parallel
(b) perpendicular

To the line 2x+3y=5

Worked solutions to this questions will be truely appriciated, if you can please answear as quick as possible because i need move on to question 3 & 4 which are more difficult then these, which i dont have a understanding of. please help
1#

$(x-x_C)^2 + (y-y_C)^2 = r^2$

where :

$x_C=\frac{x_A+x_B}{2} ~\text{and}~y_C=\frac{y_A+y_B}{2}$

$r=\frac{1}{2} \cdot \sqrt{(x_B-x_A)^2+(y_B-y_A)^2}$

2#

Let :

$p : y=m_1 x+n_1$

$q : y=m_2 x+n_2$

then :

$\begin{cases}m_1=m_2, & \text{if } p \parallel q \\m_1 \cdot m_2=-1, & \text{if } p \perp q\end{cases}$

5. Re: Graphs & Functions

Originally Posted by iFuuZe
Hi Guys

I missed a week of school due to going on a holiday and i got a maths test this wednesday, which the teacher is not giving me extra time to study for. He gave 2 practice questions on what we have been doing, but not a worked out example. If you guys can please answear this questions for me as i don't understand them. Also im in year 11 Maths Methods, the questions are:

1. Find the standard form of the equation of the circle for which the endpoints of a diameter are (-2,3) and (4,-10)

2. Write the slope-intercepts forms of the equation of the lines through the point (-8,3) and
(a) parallel
(b) perpendicular

To the line 2x+3y=5

Worked solutions to this questions will be truely appriciated, if you can please answear as quick as possible because i need move on to question 3 & 4 which are more difficult then these, which i dont have a understanding of. please help
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