Question

Madison is reeling in her kite string at a steady rate. The liner 3y- 9x = 81 can be use to find y, the number of feet of kite string she still need to reel in after x second. Are the points (0, 27) and (-9, 0) on the line? please show your works

Answer 1

The points (0, 27) and (-9, 0) are on the line

The equation of the line is  given that

3y - 9x = 81

The coordinates of the first point = (0, 27)

Substitute the value of x and y in the equation

3(27) - 9(0) = 81

Multiply the terms

81 - 0 = 81

Add the terms

81 = 81

The point (0, 27) is on the line

The coordinates of the second point = (-9, 0)

Substitute the value of the x and y in the equation

3(0) - 9(-9) = 81

Multiply the terms

0 + 81 = 81

Add the terms

81 = 81

The point (-9, 0) is on the lines

Hence, the points (0, 27) and (-9, 0) are on the line

Learn more about equation of the line here

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