What is the value of x if the slope of a line is 1 and it contains the points (-5, x) and (3, 2)?

Answer 1

Step 1: Identify what you know from the problem statement.

1. One complete point. (3, 2)
2. One incomplete point. (-5, x)
3. Slope. m = 1

Step 2: Determine the required equation.

There may be more than one way to solve this problem but the best route is to use the slope equation.

m = (y₂ - y₁)/(x₂ - x₁)

Step 3: Insert values into the equation.

1 = (2 - x)/(3 - (-5))

Step 4: Solve for x.

1 = (2 - x)/(3 - (-5))

1 = (2 - x)/(8)

8 = (2 - x)

x + 8 = 2

x = -6

Therefore, the value of x, give the points from the problem statement at a slope of 1, is equal to -6.