Looking at the slope of a line, it represents the degree of its incline, which is determined by dividing the difference in height (rise) by the difference in width (run). The y-intercept signifies the location where the line intersects the y-axis. Together, these two elements construct a linear equation y=mx+b, with m symbolizing the slope and b representing the y-intercept.
| Topic | Problem | Solution |
|---|---|---|
| None | Question Watch Video Show Examples Find the slope… | The slope of a line is given by the coefficient of x when the equation of the line is in the form y… |
| None | Question 10) Find the equation of a line in slope… | Find the slope of the line that passes through the points (1,2) and (5,10) using the formula m = (y… |
| None | Find an equation of the line having a slope of -1… | The equation of a line in slope-intercept form is given by \(y = mx + b\), where \(m\) is the slope… |
| None | Question 7 of 11 , Step 1 of 1 $8 / 15$ Correct F… | The equation of a line is usually given in the form y = mx + c, where m is the slope of the line. T… |
| None | — Save \& Exit Practice Lesson: 3.4 Slope and For… | Consider the following equation: \(-3x + y - 12 = 0\). |
| None | Question Find the slope of the line shown in the … | Identify two points that the line passes through on the graph, let's denote these points as (x1,y1)… |
| None | Your answer is incorrect. A line passes through t… | The slope-intercept form of a line is given by \(y = mx + b\), where \(m\) is the slope and \(b\) i… |
| None | Question 9 of 11, Step 1 of 1 Correct Find the eq… | The equation of a line in slope-intercept form is given by \(y = mx + b\), where \(m\) is the slope… |
| None | 2.1 Homework Question $9,2.1 .47$, HW Score: $77.… | First, we need to find the slope of the line passing through $(3,9)$ and $(-7,5)$. The slope of a l… |
| None | Find the equation of the line using the point-slo… | We are given that the line passes through the point (-2,3) and has an x-intercept of 1. This means … |
| None | Find the equation of the line using the given inf… | The equation of a line can be found using the formula y = mx + c, where m is the slope of the line … |
| None | Write the equation of the line using the informat… | Given the slope \(m = -\frac{2}{5}\) and the y-intercept \(b = 7\). |
| None | The equation of line $c$ is $y=5 x-\frac{2}{5}$. … | The slope of line $d$ is the same as the slope of line $c$ because they are parallel. The slope of … |
| None | Type the slope-intercept equation of the line tha… | The slope-intercept form of a line is given by \(y = mx + b\), where \(m\) is the slope of the line… |
| None | Write the equation of the line that passes throug… | 1. \( m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1-4}{-1-0} = \frac{-3}{-1} = 3 \) |
| None | Find the slope of the line that passes through th… | 1) \(m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-5 - 10}{-2 - 3}\) |