5: Overview on Lines \( \quad \begin{array}{l}\text { This quiz: } 10 \text { point(s) pos } \\ \text { This question: } 1 \text { point(s) }\end{array} \) \( \qquad< \) Question 3 of 10\( \rangle \) Write an equation of the line with the given slope, \( m \), and \( y \)-intercept \( (0, b) \).

To write the equation of a line when you're given the slope \( m \) and the \( y \)-intercept (0, b), you can use the slope-intercept form of a line, which is \( y = mx + b \). Plug in the values for \( m \) and \( b \) directly into this formula, and voilà! You have your line's equation. For example, if \( m = 2 \) and \( b = 3 \), the equation would be \( y = 2x + 3 \). Now, let's think about the context of the line. Every time you adjust the slope \( m \), you're essentially changing the angle of the line: a positive slope tilts the line upwards, while a negative slope tilts it downwards! The \( y \)-intercept \( b \) is where your line crosses the \( y \)-axis, influencing the starting point of the line on the graph. Understanding this concept can significantly aid in visualizing how lines behave in a coordinate plane!