To ascertain equations utilizing two points, one must be well-versed in the slope-intercept form, represented as y=mx+b. The slope (m) can be calculated by the difference in y over the difference in x between two points (x1,y1) and (x2,y2). To find the y-intercept (b), we need to substitute a point and the calculated slope into the equation.
| Topic | Problem | Solution |
|---|---|---|
| None | If $f(x)$ is a linear function, $f(-4)=3$, and $f… | We are given a linear function $f(x)$, and two points on the line, $(-4, 3)$ and $(4, -1)$. |
| None | The chart to the right shows a country's annual e… | First, we need to find the slope of the line that passes through the points (0,51.7) and (4,60.2). … |
| None | Suppose that the weight (in pounds) of an airplan… | Let's denote the weight of the airplane as \(y\) and the amount of fuel as \(x\). The relationship … |