Write the equation of a line in point-slope form that passes through the point $$ (2, 3) $$ with a slope of $$ 4 $$.

Question

UpStudy AI · Accepted Answer

To write the equation of a line in **point-slope form**, you can use the following formula:

$$
y - y_1 = m(x - x_1)
$$

where:
- $$ (x_1, y_1) $$ is a point on the line.
- $$ m $$ is the slope of the line.

**Given:**
- Point $$ (2, 3) $$, so $$ x_1 = 2 $$ and $$ y_1 = 3 $$.
- Slope $$ m = 4 $$.

**Plugging these values into the point-slope form:**

$$
y - 3 = 4(x - 2)
$$

**So, the equation of the line is:**

$$
\boxed{y - 3 = 4(x - 2)}
$$
The equation of the line in point-slope form is $$ y - 3 = 4(x - 2) $$.

Write the equation of a line in point-slope form that passes through the point \( (2, 3) \) with a slope of \( 4 \).