Writing Equations From Tables & Graphs

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

The y-intercept (b) is the point where the line crosses the y-axis, indicating the value of y when x = 0.

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

The equation is y = 2x - 3.

Identify the slope by calculating the change in y over the change in x, then use a point to find the y-intercept.

The graph is a straight line with a slope of -1 and a y-intercept at (0, 2).

The equation is y = 3x + 6.

The equation is y = x + 4.

First, find the slope: m = (-2 - 0) / (3 - 1) = -1. Then use point-slope form: y - 0 = -1(x - 1) => y = -x + 1.