Question

match the following linear equation vocabulary to its definitions or meanings.
slope-intercept form choose
y-intercept choose
slope choose
choose
y=mx+b
where a line crosses the y-axis on a graph or when x=0 in a table
rise over run on a graph or y2-y1/x2-x1 in a table

Explanation:

• Slope - Intercept Form: The standard form of a linear equation that is written as \( y = mx + b \), where \( m \) is the slope and \( b \) is the y - intercept.
• Y - Intercept: This is the point where a line crosses the y - axis. On a graph, this occurs when \( x = 0 \), and in a table, we can find it by looking at the value of \( y \) when \( x = 0 \).
• Slope: The slope of a line can be calculated as "rise over run" when looking at a graph (the change in \( y \) divided by the change in \( x \) between two points on the line). In a table, we can calculate it using the formula \( \frac{y_2 - y_1}{x_2 - x_1} \) for two points \( (x_1,y_1) \) and \( (x_2,y_2) \) on the line.

Answer:

• Slope - Intercept Form: \( y = mx + b \)
• Y - Intercept: Where a line crosses the Y - Axis on a graph or when \( X = 0 \) in a table
• Slope: Rise over Run on a graph or \( \frac{Y2 - Y1}{X2 - X1} \) in a table