To find the y-intercept and the slope from a graph, follow these steps:
-
Finding the y-intercept:
- The y-intercept is the point where the graphed line intersects the y-axis. To find it:
- Start at the origin (0,0) and move vertically along the y-axis until you reach the line.
- The y-coordinate of this intersection point is the y-intercept.
- The y-intercept is the point where the graphed line intersects the y-axis. To find it:
-
Finding the slope:
- The slope of the line can be determined using two points (ordered pairs) on the line. Once you have two points, (x1, y1) and (x2, y2), use the slope formula:
- \( m = \frac{y2 - y1}{x2 - x1} \)
- Here, \( m \) represents the slope of the line.
- The slope of the line can be determined using two points (ordered pairs) on the line. Once you have two points, (x1, y1) and (x2, y2), use the slope formula:
By following these steps, you accurately determine both the y-intercept and the slope from the graph. The correct phrasing would be:
To find the y-intercept, begin at the origin and move vertically to the graphed line. To find the slope, use two ordered pairs on the line and substitute them into the equation m = (y2 - y1) / (x2 - x1).