Question

Which statements accurately describe how to determine the y-intercept and the slope from the graph below?

On a coordinate plane, a line goes through points (0, negative 6) and (3, 0).
To find the y-intercept, begin at the origin and move horizontally to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction.
To find the y-intercept, begin at the origin and move horizontally to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction x 2 minus x 1 Over y 2 minus y 1 EndFraction.
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 into the equation m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction.
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 into the equation m = StartFraction x 2 minus x 1 Over y 2 minus y 1 EndFraction.

Answer 1

The third statement is correct:

- To find the y-intercept, start at the origin and move vertically to the line (here the y-intercept is (0, −6)).
- To find the slope, use two points and m = (y2 − y1)/(x2 − x1). Using (0, −6) and (3, 0): m = (0 − (−6))/(3 − 0) = 6/3 = 2.