Without Graphing, Decide:
(A) Are the Graphs of the Equations $\left\{ \begin{array} { l } x + y = 7 \\x + y = 2\end{array} \right.$

question 88

Multiple Choice

Without graphing, decide:
(a) Are the graphs of the equations are identical lines, parallel lines, or lines intersecting at a single point?
(b) How many solutions does the system have?
- $\left\{ \begin{array} { l } x + y = 7 \\x + y = 2\end{array} \right.$

• A) lines intersecting at a single point; one solution
• B) identical lines; infinite number of solutions
• C) parallel lines; no solution

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Definitions:

Spearman Rank Correlation Coefficient

A rank correlation metric that does not rely on parametric assumptions to evaluate how effectively a monotonic function describes the connection between two variables.

Ordinal Variables

A type of variable where the order of the values is significant, but the differences between the values are not necessarily consistent.

Interval Variables

Interval variables are a type of quantitative variable that have ordered values with consistent differences but no true zero point, such as temperature in Celsius.

T-Table Values

Values in a table that represent critical values of the t-distribution used in hypothesis testing, dependent on the desired significance level and degrees of freedom.