Describe how to find the y-intercept and the slope from the graph below. NOTE: In the bottom right corner of each question, you will see an option to check answer. Click this to check your answer before moving on to the next question. It will not tell you the correct answer, but it will tell you if the answer you selected is correct. You can use this feature twice per question.(1 point)ResponsesTo find the y-intercept, begin at the origin and more vertically to the graphed line.To find the slope, use two ordered pairs on the line and substitute them into the equation m=y2−y1x2−x1To find the y-intercept, begin at the origin and more vertically to the graphed line. To find the slope, use two ordered pairs on the line and substitute them into the equation m is equal to the fraction with numerator y sub 2 minus y sub 1 and denominator x sub 2 minus x sub 1To find the y-intercept, begin at the origin and more horizontally to the graphed line.To find the slope, use two ordered pairs on the line and substitute them into the equation m=y2−y1x2−x1To find the y-intercept, begin at the origin and more horizontally to the graphed line. To find the slope, use two ordered pairs on the line and substitute them into the equation m is equal to the fraction with numerator y sub 2 minus y sub 1 and denominator x sub 2 minus x sub 1To find the y-intercept, begin at the origin and more horizontally to the graphed line.To find the slope, use two ordered pairs on the line and substitute them into the equation m=x2−x1y2−y1To find the y-intercept, begin at the origin and more horizontally to the graphed line. To find the slope, use two ordered pairs on the line and substitute them into the equation m is equal to the fraction with numerator x sub 2 minus x sub 1 and denominator y sub 2 minus y sub 1 To find the y-intercept, begin at the origin and more vertically to the graphed line.To find the slope, use two ordered pairs on the line and substitute them into the equation m=x2−x1y2−y1To find the y-intercept, begin at the origin and more vertically to the graphed line. To find the slope, use two ordered pairs on the line and substitute them into the equation m is equal to the fraction with numerator x sub 2 minus x sub 1 and denominator y sub 2 minus y sub 1Skip to navigation

1 answer

To find the y-intercept and the slope from a graph, follow these steps:

  1. 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.
  2. 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.

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).