Graph Start Point 416A89
1. Let's clarify your question: you want to know how to determine the starting point on a graph and whether the equation of the axis is correct.
2. The "starting point" on a graph usually refers to the point where the graph intersects the axes, called intercepts.
3. To find the x-intercept, set $y=0$ in the equation and solve for $x$.
4. To find the y-intercept, set $x=0$ in the equation and solve for $y$.
5. The equation of the axis depends on the context: the x-axis is $y=0$ and the y-axis is $x=0$.
6. If your equation is set equal to one of these, then yes, it is correct for that axis.
7. For example, if you have $y=2x+3$, the y-intercept is found by setting $x=0$, so $y=3$.
8. The graph starts at the point $(0,3)$ on the y-axis.
9. Similarly, to find the x-intercept, set $y=0$:
$$0=2x+3 \implies x=-\frac{3}{2}$$
10. So the graph crosses the x-axis at $\left(-\frac{3}{2},0\right)$.
This method helps you know where to start plotting the graph and confirms the correctness of the axis equations.