dentify the slope of the graphed line:

Question

Identify the y-intercept of the graphed line:
Identify the slope of the line given by the equation:
Identify the y-intercept of the line given by the equation:

Answer 1

To help you with identifying the slope and y-intercept of a graphed line or the one given by an equation, I'll explain how to do so.

Graph of a Line:

1. Slope (m):

   • The slope of the line can be found by selecting two points on the line, (x₁, y₁) and (x₂, y₂).
   • Use the formula:
     \[ m = \frac{(y₂ - y₁)}{(x₂ - x₁)} \]

2. Y-Intercept (b):

   • The y-intercept is the point where the line crosses the y-axis. This is the value of y when x = 0. You can identify this point directly from the graph.

Equation of a Line:

For a line given in slope-intercept form, which is usually written as: \[ y = mx + b \]

1. Slope (m):

   • The coefficient of x in the equation represents the slope.

2. Y-Intercept (b):

   • The constant term (the value that does not multiply x) represents the y-intercept.

If you provide specific data or an equation, I can help determine the slope and y-intercept for you!