Reflection of line across the line

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Reference no: EM13117446

(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.

Reference no: EM13117446

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