Question

4)_Slope = 4; contains (-5, - 13)
I need help please

Answer 1

The equation of the line with slope = 4 and point (-5, -13)

will be:

• 
  `y=4x+7`

Explanation:

Given

• slope = m = 4

• point = (-5, -13)

As the point-slope form of the equation of line is

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

where m is the slope.

substituting the values m = 4 and the point (-5, -13)

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

`y-\left(-13\right)=4\left(x-\left(-5\right)\right)`

`y+13=4\left(x+5\right)`

subtract 13 from both sides

`y+13-13=4\left(x+5\right)-13`

`y=4x+7`

Therefore, the equation of the line with slope = 4 and point (-5, -13)

will be:

`y=4x+7`