Answer: No it does not .
Step-by-step explanation:
First use the coordinates of point A and B to write an equation.
A (-3,-2)
B(2,1)
We will need to use these points to find the slope first and by doing that we will find the difference in the y values and divide it by the difference in the x values.
-2-1= -3
-3-2 = -5
-3/-5= 3/5
The slope is 3/5 and now we need to find the y intercept using the same points. As you can see the equation will have to be in slope intercept form which uses the formula y=mx+b where m is the slope and b is the y-intercept.
We will plot the first points in and solve for b.
-2=3/5(-3) + b
-2= -9/5 + b
+9/5 +9/5
b = -1/5
We will now write the equation y=3/5x - 1/5 .
Now using the equation try point c to see if it fits the graph.
Point C is (5,3) so again plot in the x and y coordinates and solve,
3= 3/5(5) - 1/5
3 = 3 - 1/5
3[tex]\neq[/tex] 14/5
In this case 3 does not equal 14 over 5 so Point c does not fit the graph
