Aline slope -4.5 passes through the point (6, -4). use the definition of slope to find another point on the same line

(8,-13)

The slope is -4.5 = -9/2 so that means we can move 9 units down and 2 units to the right to go from one point to another on this line.

slope = rise/run = -9/2 so we have rise = -9 and run = 2. A negative rise means we go down instead of up.

(x,y) = (6,-4) is the current point. If we move 9 units down, then we subtract 9 from the y coordinate y = -4 to get y-9 = -4-9 = -13. Moving 2 units to the right has us add 2 to the x coordinate x = 6 to get x+2 = 6+2 = 8

We start at (6,-4) and end up at (8,-13). This process can be repeated forever to get as many points as you want, so this point is not the only possible answer.

The formula of a slope:

We have the point (6, -4) and the slope -4.5.

Substitute:

Choice any value of x and calculate the value of y:

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step-by-step explanation:

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