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A line contains the points R (-5, -3) S (-1, -1) and T (x, 3). Solve for x. Be sure to show and explain all work.

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Answer:

x = 7

Step-by-step explanation:

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The value of x is 7. Therefore, the point on the line will be (7, 3).

The given points on the line are R(-5, -3), S(-1, -1) and T(x, 3).

How many points are required to find the equation of the line?

The number of points required to find the equation of the line is 2.

The slope, m, of the line using points R(-5, -3) and S(-1, -1) is given as follows;

m = (-1+3)/(-1+5)=1/2

The equation of the line in slope and point form, using point S(-1, -1) is, therefore;

y +1= (1/2)(x +1) = 2y+2=x+1

Put T(x, 3) in 2y+2=x+1, that is 6+2=x+1

so, x=7

Therefore, the value of x is 7.

To learn more about the equation of a line visit:

https://brainly.com/question/2564656.

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