To determine the slope of a line passing through a pair of points, one can use the equation (y2-y1)/(x2-x1). If another line is perpendicular to this one, the slope of that line is the negative reciprocal of the slope of the first line. Hence, if the slope of the initial line is represented as a/b, the slope of the perpendicular line will be -b/a.
| Topic | Problem | Solution |
|---|---|---|
| None | Question A line goes through the points $(-1,4)$ … | The slope of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by the fo… |
| None | GRAPHS AND FUNCTIONS Writing equations of lines p… | Given the line equation in the form $ax + by = c$, the slope of the line is $-a/b$. For the given l… |
| None | Writing equations of lines parallel and perpendic… | Given the line equation \(y = 9x - 8\). |
| None | Parallel/Perpendicular Through Point Score: $0 / … | The equation of a line in the slope-intercept form is given by \(y = mx + c\), where \(m\) is the s… |
| None | Find the equation of the line using the point-slo… | Find the slope of the given line. The slope of the line \(4y = x - 4\) is \(\frac{1}{4}\). |
| None | The equation $3 x-2 y=4$ is graphed in the $x y$-… | The given equation is in the form of a linear equation, i.e., \(ax + by = c\). The slope of a line … |
| None | Consider: $y=\frac{3}{2} x+\frac{1}{4}$ Find the … | The given line equation is \(y = \frac{3}{2}x + \frac{1}{4}\). The slope of this line is \(\frac{3}… |
| None | Consider the line $2 x-6 y=5$. What is the slope … | Given the line equation in the form \(ax + by = c\), where \(a = 2\) and \(b = -6\) for the line \(… |
| None | Consider the line $3 x-9 y=-2$ What is the slope … | Given the line equation in the form $ax + by = c$, where $a = 3$ and $b = -9$. |