Questions: Algebra 2 Slope and Equations Exit Ticket Name Hour 4 1. Given the table below, find the SLOPE and write an EQUATION of a line that passes through the points given in the table

Solution Steps

We can use any two points from the table to calculate the slope. Let's use (1, 12) and (2, 25).

The slope formula is: $m = \frac{y_2 - y_1}{x_2 - x_1}$

Substituting the values: $m = \frac{25 - 12}{2 - 1} = \frac{13}{1} = 13$

We can use the point-slope form of a linear equation: $y - y_1 = m(x - x_1)$.

Using the point (1, 12) and the slope $m = 13$: $y - 12 = 13(x - 1)$

Simplify to get the slope-intercept form: $y - 12 = 13x - 13$ $y = 13x - 1$

Final Answer: