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How to translate coordinates along a straight line in mathematical problems
Analysis: When the straight line translates along the X axis, the ordinate of each point remains unchanged and the abscissa changes.

When the straight line translates along the Y axis, the abscissa of each point remains unchanged, but the ordinate changes.

(1)∫ The straight line y=-3/2x- 1 The coordinate intersecting with the X axis is (-2/3,0).

When the point (-2/3,0) moves 2/3 units to the right, it can pass through the origin.

∴ When the straight line y=-3/2x- 1 translates 2/3 units to the right along the X axis, it can pass through the origin.

(2) Substitute x=-2 into y=-3/2x- 1 to get y=2.

∴ line y=-3/2x- 1 passing point (-2,2)

When the point (-2,2) moves up by 2 units, (-2,4) can be obtained.

∴ Translate this straight line by 2 units along the Y axis to make it pass through the point (-2,4).