Find the x and y-intercepts of the following solutions:
1.
x - y = 1
x + 2y = 4
2.
2x + y = 4
y - x = 1
3.
-5x = 10 - 4y
4x + 5y = -8
1.
x - y = 1
x + 2y = 4
2.
2x + y = 4
y - x = 1
3.
-5x = 10 - 4y
4x + 5y = -8
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Answer:
1.) x - y = 1
x intercept:
x - y = 1
x - 0 = 1
x = 1
y intercept:
x - y = 1
0 - y = 1
0 - 1 = y
y = -1
x + 2y = 4
x intercept:
x + 2y = 4
x + 2(0) = 4
x + 0 = 4
x = 4
y intercept:
x + 2y = 4
0 + 2y = 4
2y = 4
2y/2 = 4/2
y = 2
2.) 2x + y = 4
x intercept:
2x + y = 4
2x + 0 = 4
2x = 4
2x/2 = 4/2
x = 2
y intercept:
2x + y = 4
2(0) + y = 4
0 + y = 4
y = 4
y - x = 1
x intercept:
y - x = 1
0 - x = 1
0 - 1 = x
x = -1
y intercept:
y - x = 1
y - 0 = 1
y = 1
3.) -5x = 10 - 4y
x intercept:
-5x = 10 - 4y
-5x = 10 - 4(0)
-5x = 10
-5x/-5 = 10/-5
x = -2
y intercept:
-5x = 10 - 4y
-5(0) = 10 - 4y
0 = 10 - 4y
4y = 10
4y/4 = 10/4
y = 5/2
4x + 5y = -8
x intercept:
4x + 5y = -8
4x + 5(0) = -8
4x = -8
4x/4 = -8/4
x = -2
y intercept:
4x + 5y = -8
4(0) + 5y = -8
5y = -8
5y/5 = -8/5
y = -8/5