Writing equation of a line


Assignment:

(a) Write the equation of a line that intersects the negative x-axis and the positive y-axis at points not equidistant from the origin (0, 0).

(b) Draw the line.

(c) Draw the line that is the reflection of your line across the line y=x.

(d) Find the equation of the line drawn in Part (c). Do not convert fractions, if any, to decimals.

(e) Identify and write the slope, the x-intercept, and the y-intercept of each of the two lines above.

(f) Make a general statement based on your comparison of the slopes, the x-intercepts, and the y- intercepts.

(g) Mathematically, using inverse functions and composition of functions, determine whether the two lines above are inverses of each other.

(h) Determine the point at which the two lines intersect.

Provide complete and step by step solution for the question and show calculations and use formulas.

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Mathematics: Writing equation of a line
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