Respuesta :
First get slope
(4,-1) and (-2,3)
slope is
diff in y 4
---------- = ---- = -2/3
diff in x -6
use a point (-2, 3) and y - y1=M(x - x1)
y - 3= -2/3(x + 2)
y - 3= -2/3x - 4/3
+ 3 +3
y = -2/3x - 4/3 + 9/3 (3 is 9/3)
y = -2/3x + 5/3
y = mx + b
m = rise/run
y2-y1/x2-x1
(-1-3)/(4-(-2)
m = -4/6
m = -(2/3)
y = (-2/3)x + b
Pick a point and substitute the values
I used the point (4,-1)
-1 = (-2/3)(4) + b
-1 = -8/3 + b
-3 = -8 + 3b
5 = 3b
5/3 = b
To test I’m going to use a different point on the line
(-2,3)
3 = (-2/3)(-2) + (5/3)
3 = 4/3 + 5/3
3 = 3
the answer is y = (-2/3)x + (5/3)
m = rise/run
y2-y1/x2-x1
(-1-3)/(4-(-2)
m = -4/6
m = -(2/3)
y = (-2/3)x + b
Pick a point and substitute the values
I used the point (4,-1)
-1 = (-2/3)(4) + b
-1 = -8/3 + b
-3 = -8 + 3b
5 = 3b
5/3 = b
To test I’m going to use a different point on the line
(-2,3)
3 = (-2/3)(-2) + (5/3)
3 = 4/3 + 5/3
3 = 3
the answer is y = (-2/3)x + (5/3)