The point at which a graph intersects the x-axis is known as the x-intercept. This is typically found by equating the function to zero and solving for the variable x. On the other hand, the y-intercept refers to the point where the graph intersects the y-axis, typically determined by setting the value of x to zero. Understanding these intercepts is crucial as it provides insights into the graph's behavior and possible solutions.
| Topic | Problem | Solution |
|---|---|---|
| None | Consider the equation $1.5 x+4.5 y=18$. 1 If we g… | Consider the equation \(1.5x + 4.5y = 18\). |
| None | 8. MULTIPLE CHOICE What is the $y$-intercept of t… | The y-intercept of a graph is the point where the line crosses the y-axis. This happens when x = 0.… |
| None | Find the $\mathrm{x}$ - and $\mathrm{y}$-intercep… | The x-intercept is the point where the graph crosses the x-axis. At this point, y = 0. So, to find … |
| None | $-4=\frac{7 x-(-2)}{-8}$ | Simplify the equation by removing the negative sign from the denominator and the parentheses from t… |
| None | Solve. \[ \frac{x}{6}+1=\frac{1}{6} \] | Start with the equation \(\frac{x}{6}+1=\frac{1}{6}\) |
| None | Points: 0 of 1 Save Using data and projections fr… | We need to find the year when the population of Group H is projected to be at least 15% of the coun… |
| None | Find the value of $x$ in each of the following a)… | Given the equation \(2x - 7 = 13\), add 7 to both sides to get \(2x = 20\). |
| None | For $-y-3 x=-6$ determine the value of $y$ when $… | The given equation is a linear equation in two variables, $x$ and $y$. To find the value of $y$ whe… |
| None | Plot the intercepts to graph the equation. \[ 8 x… | Plot the intercepts to graph the equation \(8x - 2y = -8\). |
| None | Find the $x$ - and $y$-intercepts of the graph of… | Find the x-intercept by setting y = 0 in the equation -7x + 10y = 35. |
| None | QUESTION 3 Find the coordinates of the \( y \)-in… | x = 0 |