Answer:
(-1,-6) , (7,0) and (11,3)
Step-by-step explanation:
3x - 4y = 21
4y = 3x - 21
y = 3/4x - 21/4 , the slope(m) of this line is 3/4
The x and y intercepts are (0,-5.25) and (7,0)
Taking a point (-3,3):
Slope(m) = change in y ÷ change in x
Slope = (3 - 0) ÷ (-3 - 7) = -0.3
Since the slope here is not 3/4 then point (-3,3) is not on the line.
Taking a point (-1,-6)
Slope = (-6 - 0 ) ÷ (-1 - 7) = -6/-8 = 3/4
The point (-1,-6) is on the line.
Taking a point (7,0):
This point is the x - intercept and so its on the line.
Taking a point (11,3):
Slope = (3 - 0) ÷ (11 - 7) = 3/4
Therefore the point (11,3) is on the line.
