The point-slope form of a line equation is:

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

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

Given:

• Point $(x_1, y_1) = (1, 2)$
• Slope $m = 4$

Substitute these values into the point-slope formula:

$y - 2 = 4(x - 1)$

So, the equation of the line in point-slope form is:

$y - 2 = 4(x - 1)$

Would you like more details or have any questions?

Here are some related questions:

1. How would you convert this to slope-intercept form?
2. What is the y-intercept of this line?
3. How would you find the x-intercept of this line?
4. How can you use two points to derive the slope and equation?
5. What does the line look like graphically with this slope and point?

Tip: Point-slope form is especially useful for quickly writing equations of lines when you know a point and the slope.