# Linear Relationships

• Feb 16th 2013, 02:20 PM
Fratricide
Linear Relationships
Just brushing up on my linear relationships skills before an upcoming assessment task, any help would be much appreciated.

1) (6,3) is the midpoint of the line joining the points (-4, y) and (x, -6). The value of x + y is?

2) The straight line with equation ax + by = c passes through the points (2, 4) and (-3, 1). Find the values of a, b and c.
• Feb 16th 2013, 02:46 PM
Plato
Re: Linear Relationships
Quote:

Originally Posted by Fratricide
Just brushing up on my linear relationships skills before an upcoming assessment task, any help would be much appreciated.

1) (6,3) is the midpoint of the line joining the points (-4, y) and (x, -6). The value of x + y is?

2) The straight line with equation ax + by = c passes through the points (2, 4) and (-3, 1). Find the values of a, b and c.

Why don't you post some of your own work?
• Feb 16th 2013, 03:04 PM
Fratricide
Re: Linear Relationships
So you do not know how to find the "midpoint of the line segment with endpoint $\displaystyle (x_1, y_1)$ and $\displaystyle (x_2, y_2)$? It is given by $\displaystyle \left(\frac{x_1+ x_2}{2}, \frac{y_1+ y_2}{2}\right)$. Can you start now?