Question

What is the equation of the line that passes through the point (-5,2)(−5,2) and has a slope of 4/5?

Answer 1

30 = 5y - 4x or 6 + (4x/5) = y (in mx + c = y form)

Explanation:

slope =

`y_(2)` -
`y_(1)`/
`x_(2)` -
`x_(1)`

now,
`y_(2)` = 2

`x_(2)` = -5

insert the values of these two in the slope formula and equate it with 4/5.

by cross multiplication, obtain equation.

the equation is 30 = 5y-4x.

hope this helps you!

Answer 2

The answer is

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

Explanation:

We'll be doing the y = mx + b form.

We are gonna substitute first, then solve.

`y = mx + b \\ 2 = (4)/(5) ( - 5) + b \\ 2 = - 4 + b \\ ( + 4 \:= + 4\: \: \: \: \: \: \: \: )/(6 = b)`

Using the information given and gathered:

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