Question

This is due ina hour and I need help??!

Answer 1

1)
`y=3x-1`

2)
`y=(-1)/(5)x+4`

3)
`y=5x-3`

4)
`y=3`

5)
`y=(3)/(4)x+6`

6)
`y=2x-10`

7)
`y=(3)/(2)x+4`

8)
`y=2`

9)
`y=(1)/(3)x+3`

10)y=
`y=(-1)/( 2)+4`

*NOTICE* Some of the numbers on your picture are blurry, so the numbers might be slightly wrong *NOTICE*

Explanation:

I assume that this is asking you to write the simplest equation.

The three formulas you need are the slope formula, the point-slope formula and the linear equation.

Slope formula is
`(y2-y1)/(x2-x1)` , Point slope is y-y1=m(x-x1), where m is the slope and y1 and x1 come from a point, and linear equation is y=mx+b. Where m is the slope, and b is the y-intercept.

1)Slope=3, and y-intercept=-1, so y=3x-1

2)Slope=-1/5, and y-intercept=4, so y=-1/5x+4

3)Slope=5, and it goes through the point (2,7), so y-7=5(x-2) you distribute the 5 to get y-7=5x-10, and you add the 7 to get y by itself to get y=5x-3

4)Slope=0, and it goes thorough point (-3,3), so y-3=0(x+3). Distribute the zero to get y-3=0. Add thee to get y by itself to get y=3

5)slope=3/4, and it goes through point (0,6), so (0,6) shows that the y-intercept=6. y=3/4x+6

6)Goes through points (6,2) and (5,4), so you use the slope formula to get
`(4-2)/(6-5)=(2)/(1)=2`. y-2=2(x-6), and you distribute the 2 to get y-2=2x-12. Add two to get y by itself, and you get y=2x-10.

7) Goes through (0,4) and (2,7). Slope formula
`(7-4)/(2-0)=(3)/(2)`. (0,4) shows the y-intercept=4. y=3/2x+4.

8)Goes through points (-3,2) and (8,2). Slope formula
`(2-2)/(8-(-3))=(0)/(8+3)=0`. Point-slope to get y-2=0(x-3). Distribute 0 to get y-2=0. Add 2 to get y by itself to get .

9)Goes through points (-6,1) and (-3,2). Slope formula
`(2-1)/(-3-(-6)) =(1)/(-3+6) =(1)/(3)` . Point-slope to get y-1=1/3(x+6). Distribute 1/3 to get y-1=1/3x+2. Add 1 to get y by itself to get
`y=(1)/(3)x+3`.

10)y-intercept=4 and goes through point (2,3). Turn y-intercept into point (0,4). Slope formula.
`(3-4)/(2-0)=(-1)/(2)` . With y-intercept=4,
`y=(-1)/(2)x+4`