Question

Check if two equations are equal calculator is used to determine:

A) Consistency of linear equations
B) Intersection points of lines
C) Parallelism of lines
D) Equality of mathematical expressions

Answer 1

To check if two equations are equal, compare their slopes and y-intercepts. If they are the same, the equations are equal.

Step-by-step explanation:

An equation is considered linear if it can be written in the form y = mx + b, where m and b are constants. So, to check if two equations are equal, we need to compare their slopes (m values) and y-intercepts (b values). If the slopes and y-intercepts are the same, then the equations are equal.

For example, let's compare the equations y = -3x and y = 0.2 + 0.74x. Both equations are linear because they can be written in the form y = mx + b. The slope of the first equation is -3 and the y-intercept is 0, while the slope of the second equation is 0.74 and the y-intercept is 0.2. Since the slopes and y-intercepts are different, these equations are not equal.

Therefore, the correct answer is D) Equality of mathematical expressions.

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