Question

Through (-4,5) and parallel to y = -3/2x-5

Answer 1

**Disclaimer** Hi there! I assumed the question to be asking for a line expression. The following answer will be according to this understanding. Please let me know if I am incorrect and I will modify my answer correspondingly

Answer:
`\Large\boxed{y-5=-(3)/(2) (x+4)}`

Explanation:

Given information

`\text{Pass~through~point}=(x_1,~y_1)=(-4,~5)`

`\text{Parallel~to}:y=-(3)/(2) x-5`

Given equation form

Point-slope form is the most efficient way to write the expression

`\text{Point-slope form}:y-y_1=m(x-x_1)`

`(x_1,~y_1)=\text{A point that the line passes through}`

`m=\text{Slope}`

Determine the slope

`\text{Since the line is parallel to } y=-(3)/(2) x-5 \text{ , by the property of parallel}\\\text{lines, the slope of the given line is also }-(3)/(2)`

`\text{Therefore, m}=-(3)/(2)`

Substitute values into the given form

`y-y_1=m(x-x_1)`

`y-(5)=-(3)/(2) (x-(-4)`

Simplify the expression

`\Large\boxed{y-5=-(3)/(2) (x+4)}`

Hope this helps!! :)

Please let me know if you have any questions