A line passes through the points (–3, 7) and (6, 4). Which shows the graph of this line? On a coordinate plane, a line goes through points (0, 6) and (6, 4). On a coordinate plane, a line goes through points (4, 6) and (6, 0). On a coordinate plane, a line goes through points (2, negative 10) and (6, 4). On a coordinate plane, a line goes through points (negative 10, 2) and (4, 6).
Answers
Given : A line passes through the points (–3, 7) and (6, 4).
To Find : Which shows the graph of this line
a line goes through points (0, 6) and (6, 4).
a line goes through points (4, 6) and (6, 0).
a line goes through points (2, -10) and (6, 4
a line goes through points (-10, 2) and (4, 6).
Solution:
line passes through the points (–3, 7) and (6, 4).
Slope = (7 - 4)/(-3 - 6)
= 3/(-9)
= -1/3
y - 4 = (-1/3)(x - 6)
=> 3y - 12 = -x + 6
=> x + 3y = 18
x + 3y = 18
(0, 6) and (6, 4).
y - 6 = (6 - 4)/(0- 6) (x - 0)
=> y - 6 = (-1/3)(x)
=> 3y - 18 = -x
=> x + 3y = 18
Same Equation of line hence line goes through points (0, 6) and (6, 4).
(4, 6) and (6, 0) slope = -3 ≠ -1/3
(-2 , 10) , ( 6 , 4) slope= -6/8 = -3/4 ≠ -1/3
(-10 , 2) , ( 4, 6) slope 4/14 = 2/7 ≠ -1/3
Hence On a coordinate plane, line goes through points (0, 6) and (6, 4).
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Answer:
Step-by-step explanation: