Question

Find the equation of the line that contains the given point and the given slope. Write the equation in slope-intercept form.

1. (4, 1) slope = 6


2. (6,-3) slope= -5


3. (-8, 2) slope = -1/2


4. (-7,-1) slope = 0

Answer 1

1.
`y=6x-23`

2.
`y=-5x+27`

3.
`y=-(1)/(2)x-2`

4.
`y=-1`

Step-by-step explanation:

- The equation of the line is:

`y=mx+b`

Where
`m` is the slope and
`b` is the y-intercept.

- You have to find the y-intercept
`b`, so, you must substitute the given point and the slope into each equation and solve for
`b`, and then you must rewrite the equation of the line with the slope and the y-intercept calculated:

1.
`1=6(4)+b\\ b=-23\\ y=6x-23`

2.
`-3=-5(6)+b\\ b=27\\ y=-5x+27`

3.
`2=-(1)/(2)(-8)+b\\b=-2\\ y=-(1)/(2)x-2`

4.
`-1=0(-7)+b\\ b=-1\\ y=0x-1\\ y=-1`