Question

Statements 1. r | s 2. me = 00 = -0 m₁ = 0-0 = -² (b-a)-b C 5. m, = 6. M 7. m₁ = mg Reasons 3. distance from (0, b) to (0, a) equals the distance from (c,d) to (c, 0) definition of parallel lines 4. ? application of the distance formula substitution property of equality inverse property of addition substitution property of equality CL given application of the slope formula

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Answer 1

The missing statement in step 4 include the following:

Statement Reason

4. d - 0 = b - a 4. application of the distance formula.

In Mathematics and Euclidean Geometry, parallel lines are always coplanar lines and straight lines that have an equal distance between each other. Hence, the slope of two parallel lines must be equal.

Based on the definition of parallel lines, we can reasonably infer and logically deduce that the distance from (0, b) to (0, a) equals the distance from (c, d) to (c, 0). In this context, the next step would be to apply the distance formula as follows;

0 - 0 + b - a = c - c + d - 0

d - 0 = b - a