Answer:
y-intercept (0, -3) and x-intercept (3/2, 0)
Step-by-step explanation:
y + 5 =2(x + 1)
y + 5 =2x + 2
subtract 5 from both side
y =2x -3
-3 is the y-intercept because in y=mx+b, b is the y-intercept and it always starts at 0.
To find the x-intercept, we need to plug in 0 for y in y =2x -3
0=2x -3
add 3 to both sides
2x=3
divide both sides by 2
x=3/2 and so the x-intercept is 3/2 and it always starts at 0.
Y = 5x+4. The slope is the same, 5, making them parallel, and when you plug in 2 for x you get 14
Answer:
1. -29/156 2. 38/45 3. 29/45 4. 113/24 or about 4.7 5. 457/1, 914/2, 1371/3
Step-by-step explanation:
3/13 - 5/12 can be simplified to 36/156 - 65/156. Subtract this and you get -29/156
4/9 + 2/5 can be simplified to 20/45 + 18/45. Add this and you get
38/45
5/8 - 2/9 can be simplified to 45/72 - 16/72. Subtract this and you get
29/45
3 1/2 + 2 5/12 can be first made irrational to 7/2 + 29/24. This can be simplified to 84/24 + 29/24
113/24 or about 4.7
Not sure about the 457, but to convert it, you multiply it by whatever denominator you have. For example
1x457 = 457/1
2x457 = 914/2
And finally 3x457 = 1371/3
