Question

Write an equation of the line with the given information. m. 4. A(-1.-5)

Answer 1

An equation of the line with the given information with

m = 4 and point A(-1, -5) is:

• 
  `y=4x-1`

Explanation:

As the equation of a line in point-slope form is given by:

`y-y_1=m\left(y-x_1\right)`

where m is the slope.

Given:

• the slope m = 4

• the point A(-1, -5)

Substituting the values in the equation of a line in point-slope form

`y-y_1=m\left(x-x_1\right)`

`y\:-\:\left(-5\right)\:=\:4\:\left(x\:-\:\left(-1\right)\right)`

`y+5=4\left(x+1\right)`

subtract 5 from both the sides

`y+5-5=4\left(x+1\right)-5`

`y=4x-1`

Therefore, an equation of the line with the given information

with m = 4 and point A(-1, -5) is:

• 
  `y=4x-1`