Answer:
w = 0
Step-by-step explanation:
We are provided with some information
Slope = 0
Two points = ( -3,0) and (3,w)
Formula for slope
m = (y_2 - y_1 )/( x _2 - x _1)
Using the two points given
( -3,0) ( 3 ,w)
x_1 = -3
y_1 = 0
x_2= 3
y_2 = w
Inserting the values given
m =( y_2 - y_1) / (x_2 - x_1)
m = (w - 0) / (3 - (-3))
m = (w - 0) / (3 + 3)
m = (w - 0) / 6
m is given as 0
0 = (w - 0) / 6
Cross multiply
0 * 6 = w - 0
0 = w - 0
0 + 0 = w
0 = w
Therefore, w = 0