1. **State the problem:** We need to find the coordinates of another point on the line $h$ which has a slope of 4 and passes through the point $(20,12)$.
2. **Formula used:** The equation of a line in point-slope form is
$$y - y_1 = m(x - x_1)$$
where $m$ is the slope and $(x_1, y_1)$ is a point on the line.
3. **Substitute known values:** Here, $m=4$, $x_1=20$, and $y_1=12$. So,
$$y - 12 = 4(x - 20)$$
4. **Simplify the equation:**
$$y - 12 = 4x - 80$$
Add 12 to both sides:
$$y = 4x - 80 + 12$$
$$y = 4x - 68$$
5. **Find another point:** Choose a value for $x$ different from 20, for example $x=21$.
6. **Calculate $y$ for $x=21$:**
$$y = 4(21) - 68 = 84 - 68 = 16$$
7. **Answer:** Another point on the line $h$ is $(21,16)$.
This point satisfies the line equation and is different from the given point $(20,12)$.
Line Point 9Af68A
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