Now find the equation of the line in the form \( y=m x+b \).

To find the equation of a line in the slope-intercept form \( y = mx + b \), you need two key components: the slope (m) and the y-intercept (b). The slope defines how steep the line is, and the y-intercept tells you where the line crosses the y-axis. If you know two points on the line, you can use them to calculate the slope \( m \) using the formula \( m = (y_2 - y_1) / (x_2 - x_1) \). Then, plug in one of your points to solve for \( b \). Once you have \( m \) and \( b \), you can write your final equation. For instance, if you have a slope of 2 and a y-intercept of 3, the equation of your line would be \( y = 2x + 3 \). Easy peasy! Another fun fact: historically, the concept of a line was crucial for the development of geometry! Ancient Greeks like Euclid formalized the properties of lines, which set the stage for calculus and more advanced mathematics. Understanding lines isn’t just about equations; it’s part of a rich mathematical heritage that has shaped science and technology!