Question

What is the y-intercept? Response area

What is the slope? Response area

What is the equation of the line in slope-intercept form? Response area

This is a Response area relationship.

Answer 1

To find the y-intercept, slope, and the equation of a line in slope-intercept form \(y = mx + b\), you need information from a given linear equation or two points on the line.

1. **Y-intercept**: The y-intercept is the value of \(y\) when \(x = 0\). It is represented by \(b\) in the equation \(y = mx + b\).

2. **Slope**: The slope, represented by \(m\), indicates the steepness of the line. It is calculated by the formula \(m = \frac{y_2 - y_1}{x_2 - x_1}\) using two points \((x_1, y_1)\) and \((x_2, y_2)\) on the line.

3. **Slope-Intercept Form**: The equation of the line in slope-intercept form is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.

If you provide specific points or an equation, I can help you calculate these values.