The slope quantifies the steepness of a line, whereas the y-intercept is characterized as the juncture at which the line intersects the y-axis. The formula (y2-y1)/(x2-x1) is the standard method for determining the slope. On the other hand, the y-intercept can be calculated by manipulating the equation y=mx+b (which is the slope-intercept form) into the form b=y-mx, utilizing the known slope (m) and any point (x,y) on the line.
| Topic | Problem | Solution |
|---|---|---|
| None | Given the points A(2,4) and B(6,8), find the slop… | To find the slope (m) of the line AB, we use the formula \(m = \frac{y_2 - y_1}{x_2 - x_1}\), where… |