write the linear equation that gives the rule for this table.\n\n| x | y |\n|----|----|\n| 5 | 0 |\n| 6 | 1…

write the linear equation that gives the rule for this table.\n\n| x | y |\n|----|----|\n| 5 | 0 |\n| 6 | 1 |\n| 7 | 2 |\n| 8 | 3 |\n\nwrite your answer as an equation with y first, followed by an equals sign.

write the linear equation that gives the rule for this table.\n\n| x | y |\n|----|----|\n| 5 | 0 |\n| 6 | 1 |\n| 7 | 2 |\n| 8 | 3 |\n\nwrite your answer as an equation with y first, followed by an equals sign.

Answer

Explanation:

Step1: Find the slope (m)

The slope formula is $m = \frac{y_2 - y_1}{x_2 - x_1}$. Using points (5, 0) and (6, 1): $m = \frac{1 - 0}{6 - 5} = \frac{1}{1} = 1$

Step2: Use point - slope form to find the equation

Point - slope form is $y - y_1 = m(x - x_1)$. Using point (5, 0) and $m = 1$: $y - 0 = 1(x - 5)$ Simplify to slope - intercept form ($y=mx + b$): $y = x - 5$

Answer:

$y = x - 5$