Transform
6
�
+
−
2
�
=
−
9
6x+−2y=−9 into slope-intercept form (
�
=
�
�
+
�
y=mx+b ).
To transform the given equation 6x - 2y = -9 into slope-intercept form (y = mx + b), follow these steps:
1. Add 2y to both sides of the equation:
6x - 2y + 2y = -9 + 2y
6x = 2y - 9
2. Divide both sides by 6 to solve for y:
6x/6 = (2y - 9)/6
y = (2/6)x - 9/6
y = (1/3)x - 3/2
Therefore, the equation is now in slope-intercept form as y = (1/3)x - 3/2.