Question

Confused someone help

Answer 1

`y=-5x-21`

Explanation:

The given line has equation;

`y=-5x+6`

This line is in the form
`y=mx+c`, where
`m=-5`

`(x_1,y_1)=(-4,-1)`

The required equation can be found using the formula;

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

We substitute the given point and slope to get,

`y+1=-5(x+4)`

Expand

`y=-5x-20-1`

`y=-5x-21`

Answer 2

y = -5x - 21

Explanation:

Given in the question,

equation of a parallel line

y = -5x + 6

point through which it passes

(-4,-1)

Step1

Find the gradient of the equation given, as it is parallel so it will have same gradient

equation of straight line

y = mx + c

where m is gradient

c is y intercept

y = -5x + 6

m =-5

Step2

Find y-intercept

-1 = -5(-4) + c

-1 = 20 + c

c = -20 - 1

c = -21

Step3

form the equation

y = -5x - 21