given the slope m of a line and a point (x, y) on that line, how can you determine the coordinates of another point on the line?

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01-12-2022
Mathematics

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given the slope m of a line and a point (x, y) on that line, how can you determine the coordinates of another point on the line?

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qwsgreen qwsgreen · Answer 1 · 2022-12-06T07:24:29+01:00

To find points on the line y = mx + b, choose x and solve the equation for y, or. choose y and solve for x.

When you know the slope of the line to be investigated and the given point is also the y intercept, you can utilize the slope intercept formula, y = mx + b. (0, b). The y value of the y intercept point is denoted by the symbol b in the formula.

The equation of the line is written in the slope-intercept form, which is:

y = mx + b, where m represents the slope and b represents the y-intercept.

Finding the distance from the known endpoint to the midpoint and then applying the same transformation to the midpoint is the quickest way to locate the missing endpoint. The x-coordinate changes in this situation from 4 to 2, or down by 2, so the new x-coordinate is 2-2 = 0.

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