Question

question 7 of 10, step 1 of 2
consider the following relation.
-4x - 7y = 5
step 1 of 2: determine the domain and range for the relation in interval notation.
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Explanation:

Step1: Identify relation type

The equation $-4x - 7y = 5$ is a linear equation, which graphs as an infinite straight line (confirmed by the provided graph extending infinitely in both directions).

Step2: Determine domain

For a non-vertical linear line, there are no restrictions on $x$-values; $x$ can be any real number.
Domain: $(-\infty, \infty)$

Step3: Determine range

For a non-horizontal linear line, there are no restrictions on $y$-values; $y$ can be any real number.
Range: $(-\infty, \infty)$

Answer:

Domain: $\boldsymbol{(-\infty, \infty)}$
Range: $\boldsymbol{(-\infty, \infty)}$