Question

ASAP!! WILL MARK BRAINLIEST FOR FIRST ACCURATE ANSWER!!! FILL IN THE '...'S AND GIVE ME THE SLOPE!!

Answer 1

The points are A (-8.75;9), B(9,-5.833) and the slope for both equations are $-\frac{2}{3}$

Step-by-step explanation:

Step 1; The given equation is y = $-\frac{2x}{3}$ + $\frac{1}{6}$. Assume the unknown x coordinate is x and the unknown y coordinate is y so the points become A(x;6), B(9;y). For point A we calculate the value of x and in point B we calculate the value of y. So by substituting the first point A(x;6) in the equation, we get

y = $-\frac{2x}{3}$ + $\frac{1}{6}$, 6 = $-\frac{2x}{3}$ + $\frac{1}{6}$,6 - $\frac{1}{6}$ = $-\frac{2x}{3}$ , $-\frac{3}{2}$(6 - $\frac{1}{6}$) = x, x = -8.75

By substituting the second point B(9;y) in the equation we get

y = $-\frac{2x}{3}$ + $\frac{1}{6}$, y = $-\frac{18}{3}$+ $\frac{1}{6}$ = -6 + $\frac{1}{6}$ = -5.8333.

So the points are A (-8.75;9), B(9,-5.833).

Step 2; Slope is given by the expression m in the equation y = mx + b.

In this equation y = $-\frac{2x}{3}$ + $\frac{1}{6}$, m = $-\frac{2}{3}$ and b = $\frac{1}{6}$. So the slope, m = $-\frac{2}{3}$.