To find the slope between two coordinates, you use the formula:
m = y2 - y1/x2 - x1
If coordinate A is (-2, 5) and coordinate B is (3, -4), then:
y2 = -4
y1 = 5
x2 = 3
x1 = -2
So, just substitute the points into the formula.
m = -4 - 5/3 - (-2)
m = -9/5
The slope of the line is -9/5.
Answer: (0, 2)
3x = y - 2
6x = 4 - 2y
3x = y - 2
- y - y
-y + 3x = - 2
- 3x - 3x
-y = - 3x - 2
/-1 /-1
y = 3x + 2
6x = 4 - 2y
+ 2y + 2y
2y + 6x = 4
- 6x - 6x
2y = - 6x + 4
/2 /2
y = -3x + 2
y = 3x + 2
y = -3x + 2
3x + 2 = -3x + 2
- 2 - 2
3x = -3x
/3 /3
x = 0
y = 3x + 2
y = 3(0) + 2
y = 2
(x, y) --> (0, 2)
Therefore, the two equations intersect at (0, 2)
Hope this helps!
