Question

17. Write the slope-intercept form of the line described in the following:

Perpendicular to y = x - 4 and passing through (-1,0)

Answer 1

Answer:
`y=-x-1`

Explanation:

What we need to know:

• slope-intercept form is
  `y=mx+b`
• the slope of a perpendicular line is the opposite reciprocal or opposite number and flipped fraction

Now let's solve:

Slope:

1. opposite of 1 is -1
2. reciprocal of 1/1 is 1/1
3. slope is -1

Intercept:

1. y=mx+b --> y= -x+b
2. 0= -(-1)+b
3. -1=b

Equation: y= -x-1