To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect. The two lines intersect in (-3, -4) which is the solution to this system of equations
A median intersects at the midpoint of the opposite length. The midpoint is:
x,m = (4+-2)/2 = 1
y,m = (-1+7)/2 = 3
The midpoint is at (1,3). With this point and point R(9,9), the equation would be:
y = mx + b, where
m = (9 - 3)/(9 - 1) = 0.75
b is the y-intercept
Substituting any point,
3 = 0.75(1)+b
b = 2.25
Thus, the equation for the median is:
y = 0.75x + 2.25
Answer:

Step-by-step explanation:
<u>Goal</u>
- Find the equation of the line.
<u>Given</u>
- Coordinate points which are (4,3) and (6,2).
<u>Step</u><u> </u><u>1</u>
- Find the slope by using slope formula or rise over run.

Substitute the coordinate points in

<u>Step</u><u> </u><u>2</u>
- Rewrite the equation in slope-intercept form by substituting m = -0.5

Substitute m = -0.5

<u>Step</u><u> </u><u>3</u>
- Find the value of b by substituting any given coordinate points in the equation.
<em>Substituting</em><em> </em><em>both</em><em> </em><em>coordinate</em><em> </em><em>points</em><em> </em><em>still</em><em> </em><em>give</em><em> </em><em>the</em><em> </em><em>same</em><em> </em><em>answer</em><em>.</em><em> </em>
<u>Step</u><u> </u><u>3.</u><u>1</u>
- Substitute (4,3) in the equation.

<u>Step</u><u> </u><u>3</u><u>.</u><u>2</u>
- Substitute (6,2) in the equation.

<u>Step</u><u> </u><u>4</u>
- Rewrite the equation again by substituting the value of b.

Substitute b = 5 in the equation.

Hence, the equation is y = -0.5x + 5