Answer:
w=0
Explanation:
We know a point (3,1) and the slope (-8/3), so we can use point-slope form, which is y-y1=m(x-x1)
For reference, y1 is the y in the point, m is the slope, and x1 is the x in the point
So we subsitute it
y-1=-8/3(x-3)
do distributive prop.
y-1=-8/3x+8
add 1 to both sides
y=-8/3x+9
This is the equation of the line.
Now to find w, which is the x value.
The point will pass through line, so we can susbtitute the point into the equation.
9=-8/3x+9
subtract 9 from both sides
0=-8/3x
multiply by -3/8 on both sides (the reciprocal of -8/3), we need to isolate x
0=x
x=w
therefore, w=0
Hope this helps!