Answer:
A(-7,6)
[tex]\displaystyle B\left(9,-\frac{6}{7}\right)[/tex]
[tex]\displaystyle slope=-\frac{3}{7}[/tex]
Explanation:
Coordinates of Ordered Pairs
We are given the function
[tex]\displaystyle y=-\frac{3}{7}x+3[/tex]
And have two incomplete coordinates A(?,6) B(9,?). We'll find the required values by using the given equation.
We know from the point A that the y-coordinate is 6, thus
[tex]\displaystyle 6=-\frac{3}{7}x+3[/tex]
Solving for x
[tex]\displaystyle x=\frac{6-3}{-\frac{3}{7}}[/tex]
[tex]\displaystyle x=-7[/tex]
The point is A(-7,6)
Now for B(9,?), we'll plug x=9
[tex]\displaystyle y=-\frac{3}{7}\cdot9+3=-\frac{27}{7}+3=\frac{-27+21}{7}[/tex]
[tex]\displaystyle y=-\frac{6}{7}[/tex]
The point is
[tex]\displaystyle B\left(9,-\frac{6}{7}\right)[/tex]
The slope is the coefficient of the x, i.e.
[tex]\displaystyle slope=-\frac{3}{7}[/tex]
