(3,1) and (w,9); slope = -8/3
W= ?

w=0

Step-by-step 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!