1-40. A line passes through the points A-3, -2) and B(2, 1). Does it also pass through the point
C(5,3)? Justify your conclusion. 1-10 HW Jool (Desmos). Homework Help
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 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 14/5

In this case 3 does not equal 14 over 5 so Point c does not fit the graph

this shows a reflection over the x-axis and is translated one unit down and 6 units to the right (x + 6, y - 1)

hope this !

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