Question

What is the point-slope form of a line with slope 3/2 that contains the point

(-1, 2)?

A.y+2=(x + 1)
B. y-2-(x-1)
C. y+2=(x-1)
D. y-2-(x+1)

Answer 1

y - 2=(x+1) , or D because its rlly simple u just need to ask someone else for help.

Answer 2

• 
  `\boldsymbol{\rm{y-2=(3)/(2)(x+1)}}`, or D

Explanation:

Hello

If a line's equation has the form
`\boldsymbol{\rm{y-y1=m(x-x1)}}`, then it's considered to be in point-slope form.

In that formula,

• 
  `\boldsymbol{\rm{y1}}` is the y co-ordinate (2nd co-ordinate) of the point (here it's given as 2)
• 
  `\boldsymbol{\rm{m}}` is the slope, here it's 3/2
• 
  `\boldsymbol{\rm {x1}}` is the x co-ordinate (the first co-ordinate) of the point.

Now you know why this equation is called point-slope form!

Now that we're familiar with the equation, let's plug in the information that's given to us...

`\boldsymbol{\rm{y-2=\displaystyle(3)/(2)(x-(-1)}}` | simplify

`\boldsymbol{\rm{y-2=\displaystyle(3)/(2)(x+1)}}`

`\pmb{\tt{done~!!}}`

`\orange\hspace{300pt}\above3`