Question

I need help with this. How does one make 4 DIFFERENT equations for the SAME four points.

Answer 1

y +3 = 3/4(x +8)

y = 3/4(x +4)

y -3 = 3/4x

y -6 = 3/4(x -4)

Explanation:

Each point differs from the one to its left by 4 units horizontally and 3 units vertically. The "rise/run", or slope, is 3/4. With this and the four point coordinates, you can make four equations in the point-slope form:

y -k = m(x -h) . . . point-slope form of equation through (h, k) with slope m

y +3 = 3/4(x +8)

y = 3/4(x +4)

y -3 = 3/4x

y -6 = 3/4(x -4)

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You can also write equations in slope-intercept form:

y = 3/4x +3

and in standard form:

3x -4y = -12