To find the y-intercept and slope from a graph, here are the correct approaches:
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Finding the y-intercept: Start at the origin (0,0) and move vertically to where the graph intersects the y-axis. The point of intersection indicates the y-intercept value.
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Finding the slope: Use two ordered pairs (x1, y1) and (x2, y2) on the line. The formula for slope (m) is: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] This means you subtract the y-coordinates and divide by the subtraction of the x-coordinates of the two points.
The correct response 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 \( m = \frac{y_2 - y_1}{x_2 - x_1} \)."