Question

submitting an external tool available dec 8 at 12am - jan 23, 2026 at 11:59pm

x	y
1	-3
3	-13
5	-23
7	-33

answer attempt 1 out of 4
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Explanation:

Step1: Find the slope (m)

Use two points, e.g., \((1, -3)\) and \((3, -13)\). The slope formula is \(m = \frac{y_2 - y_1}{x_2 - x_1}\).
\(m = \frac{-13 - (-3)}{3 - 1} = \frac{-10}{2} = -5\).

Step2: Find the y-intercept (b)

Use the point-slope form \(y = mx + b\) and substitute \(m = -5\) and \((1, -3)\).
\(-3 = -5(1) + b\)
\(-3 = -5 + b\)
\(b = -3 + 5 = 2\).

Step3: Write the equation

The linear equation is \(y = -5x + 2\). We can verify with other points (e.g., \(x = 5\): \(y = -5(5) + 2 = -23\), which matches; \(x = 7\): \(y = -5(7) + 2 = -33\), which also matches).

Answer:

The linear equation for the table is \(y = -5x + 2\)