Answer:
y +3 = 3/4(x +8)
y = 3/4(x +4)
y -3 = 3/4x
y -6 = 3/4(x -4)
Step-by-step 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
