Please help me
1 answer:
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Answer:
Options (1), (3), and (4)
Step-by-step explanation:
Since, slope of a line passing through two points and
is given by,
m =
Therefore, slope of a line passing through (0, 5) and (2, 8) will be,
m = = 1.5
Equation of line passing through (x', y') and slope 'm' is,
y - y' = m(x - x')
Therefore, equation of a line passing through (0, 5) and slope = 1.5,
y - 5 = 1.5(x - 0)
y = 1.5x + 5
Since, all the points which lie on this line will satisfy this equation.
For (4, 11),
11 = 1.5(4) + 5
11 = 11
Point (4, 11) lies on this line.
Point (5, 10)
10 = 1.5(5) + 5
10 = 7.5 + 5
10 = 12.5
But 10 ≠ 12.5
Therefore, (5, 10) doesn't line on the line.
Point (6, 14)
14 = 1.5(6) + 5
14 = 14
True.
Therefore, (6, 14) lies on the line.
Point (30, 50)
50 = 1.5(30) + 5
50 = 50
True.
Therefore, (30, 50) lies on the line.
Point (40, 60)
60 = 1.5(40) + 5
60 = 65
But 60 ≠ 65
Therefore, (40, 60) doesn't lie on the line.
Options (1), (3) and (4) and the correct options.
Sorry my hand writing isn’t the best but here is the work for it and the answer would be (228in)
