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Select the four points that appear on the line with the given slope and y-intercept Slope: 2/3 y-intercept = -9 A- (2,3)<
Question
Select the four points that appear on the line with the given slope and y-intercept
Slope: 2/3 y-intercept = -9
A- (2,3)
B- (0,-9)
C- (1,9)
D-(9,-3)
E-(6,-5)
F-(3,-7)
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Mathematics
4 years
2021-08-11T07:32:01+00:00
2021-08-11T07:32:01+00:00 1 Answers
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Answer:
The four points that appear on the line are:
B- (0,-9)
D-(9,-3)
E-(6,-5)
F-(3,-7)
Step-by-step explanation:
The equation of the line in slope-intercept form is:
y = mx + b
Being m the slope and b the y-intercept.
We are given the values of m=2/3 and b=-9, so the equation of the line is:
y = 2/3 x – 9
We must select from the list below the points that lie on the line. To test each point, we substitute the value of x and calculate the value of y. If it matches the given y-coordinate, then the point lies on the line.
Calculate: y = 2/3 (2) – 9 = -23/3.
This point is not on the line because -23/3 ≠ 3
Calculate: y = 2/3 (0) – 9 = -9.
This point is on the line because -9 = -9
Calculate: y = 2/3 (1) – 9 = -25/3.
This point is not on the line, because -25/3 ≠ 3
Calculate: y = 2/3 (9) – 9 = -3.
This point is on the line because -3 = -3
Calculate: y = 2/3 (6) – 9 = -5.
This point is on the line because -5 = -5
Calculate: y = 2/3 (3) – 9 = -7.
This point is on the line because -7 = -7
The four points that appear on the line are:
B- (0,-9)
D-(9,-3)
E-(6,-5)
F-(3,-7)