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$y-4=7(x-6)$ ordered pairs

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Solve advanced linear inequalities

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Q.

y-4=7(x-6)

ordered pairs

Express $y$ in terms of $x$ : First, we need to express $y$ in terms of $x$ to find the ordered pairs that satisfy the equation $y - 4 = 7(x - 6)$ . $\newline$ $y - 4 = 7(x - 6)$
Distribute $7$ to terms: Next, distribute $7$ to both terms inside the parentheses. $y - 4 = 7x - 42$
Add $4$ to isolate $y$ : Then, add $4$ to both sides of the equation to isolate $y$ . $y = 7x - 42 + 4$
Combine like terms: Now, combine like terms on the right side of the equation. $\newline$ $y = 7x - 38$
Find ordered pairs: The equation $y = 7x - 38$ is now in slope-intercept form, which means we can find ordered pairs by choosing values for $x$ and calculating the corresponding $y$ values. $\newline$ For example, if $x = 0$ , then $y = 7(0) - 38 = -38$ . So one ordered pair is $(0, -38)$ .
Example with $x=0$ : Let's find another ordered pair. If $x = 1$ , then $y = 7(1) - 38 = 7 - 38 = -31$ . So another ordered pair is $(1, -31)$ .
Example with $x=1$ : We can continue this process to find as many ordered pairs as needed. For instance, if $x = 6$ , then $y = 7(6) - 38 = 42 - 38 = 4$ . So another ordered pair is $(6, 4)$ .

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