The formula y=mx+b, known as the slope-intercept equation, is utilized to establish the equation of a line. Here, 'm' embodies the slope of the line, while 'b' symbolizes the y-intercept, the point at which the line intersects the y-axis. In order to derive the equation, it's crucial to understand the slope and y-intercept of the line.
| Topic | Problem | Solution |
|---|---|---|
| None | A line passes through the point $(-9,1)$ and has … | The equation of a line in slope-intercept form is given by \(y = mx + b\), where \(m\) is the slope… |
| None | 1 Carlos provides dog-walking services in his nei… | c = 5 + 6d |
| None | Write an equation in slope-intercept form for the… | The slope-intercept form of a line is given by the equation \(y = mx + b\), where \(m\) is the slop… |
| None | Find the slope-intercept form of the line with th… | The slope-intercept form of a line is given by the equation \(y = mx + b\), where \(m\) is the slop… |
| None | Find the slope-intercept form of the line with th… | Given that the slope-intercept form of a line is given by the equation \(y = mx + b\), where \(m\) … |
| None | Find the equation of the linear function represen… | Find the slope using the first two points in the table: \(m = \frac{14 - 6}{1 - 0} = 8\) |
| None | Suppose that a household's monthly water bill (in… | Given that the monthly cost for 18 HCF is $46.96 and the slope of the line is 1.65, we can use the … |
| None | 14. On a certain day there was a near constant sn… | We are given that the snowfall rate is constant at 0.50 inch per hour. This means that for every ho… |
| None | A town's population has been growing linearly. In… | The population growth is linear, which means it can be represented by the equation of a straight li… |
| None | Write an equation of the line passing through $(-… | The equation of a line in slope-intercept form is given by \(y = mx + b\), where \(m\) is the slope… |
| None | A line passes through the point $(1,-8)$ and has … | The slope-intercept form of a line is given by \(y = mx + c\), where \(m\) is the slope and \(c\) i… |
| None | What is the equation of the line that passes thro… | 1. Use point-slope form: \( y - y_1 = m (x - x_1) \) |
| None | What is the equation of the line that passes thro… | The equation of a line in slope-intercept form is given by \(y = mx + b\), where \(m\) is the slope… |