Question

Find the x- and y-intercepts of the line 5x + 17y = -25

and

Find the x- and y-intercepts of the line 6x – 7y = -21

Answers

1. ngockhue
To find the x- and y-intercepts of a line, we can set either the x-coordinate or the y-coordinate to 0 and solve for the other coordinate.
For the first line, 5x + 17y = -25, we can find the x-intercept by setting y = 0:
5x + 17(0) = -25
5x = -25
x = -5
Therefore, the x-intercept of the line 5x + 17y = -25 is (-5, 0).
To find the y-intercept, we can set x = 0:
5(0) + 17y = -25
17y = -25
y = -25 / 17
y = -1.47
Therefore, the y-intercept of the line 5x + 17y = -25 is (0, -1.47).
For the second line, 6x – 7y = -21, we can find the x-intercept by setting y = 0:
6x – 7(0) = -21
6x = -21
x = -21 / 6
x = -3.5
Therefore, the x-intercept of the line 6x – 7y = -21 is (-3.5, 0).
To find the y-intercept, we can set x = 0:
6(0) – 7y = -21
-7y = -21
y = 21 / -7
y = -3
Therefore, the y-intercept of the line 6x – 7y = -21 is (0, -3).

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2. Answer:
(0, -25/17)
Step-by-step explanation:
To find the x-intercept of a line, we need to set y equal to zero and solve for x. To find the y-intercept, we need to set x equal to zero and solve for y.
For the line 5x + 17y = -25, setting y equal to zero gives us:
5x + 17(0) = -25
5x = -25
x = -5
Thus, the x-intercept is (-5, 0).
Setting x equal to zero gives us:
5(0) + 17y = -25
17y = -25
y = -25/17
Thus, the y-intercept is (0, -25/17).
Therefore, the x-intercept is (-5, 0) and the y-intercept is (0, -25/17).

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