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 | 3 What are the slope and \( y \)-intercept of the… | Step 1: Calculate the slope: m = \(\frac{y_2 - y_1}{x_2 - x_1}\) = \(\frac{-11 - 1}{-10 - 5}\) = \(… |
| None | Find the slope and $y$-intercept of the following… | The given equation is in the form of a linear equation, which is \(y=mx+b\), where \(m\) is the slo… |
| None | Find the slope and $y$-intercept of the line with… | Rearrange the equation $3x - y = 5$ into slope-intercept form $y = mx + b$, where $m$ is the slope … |
| None | Find the slope and $y$-intercept of the following… | The given equation is in the standard form of a linear equation, which is \(Ax + By = C\). To find … |