The points are A (-8.75;9), B(9,-5.833) and the slope for both equations are ![-\frac{2}{3}](https://tex.z-dn.net/?f=-%5Cfrac%7B2%7D%7B3%7D)
Step-by-step explanation:
Step 1; The given equation is y =
+
. 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 =
+
, 6 =
+
,6 -
=
,
(6 -
) = x, x = -8.75
By substituting the second point B(9;y) in the equation we get
y =
+
, y =
+
= -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 =
+
, m =
and b =
. So the slope, m =
.