Question

Can someone explain how to do this...Write an equation of the line that passes through the given point and has the given slope. (3,7) ; slope: 2​

Answer 1

An equation of the line passes through the given point (3, 7) and has a slope m = 2 will be:

• 
  `y=2x+1`

Explanation:

The equation of a line in point-slope form is

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

where

m = slope

As the line passes through the given point (3, 7) and has a slope m = 2, so

substituting the values in the point-slope form:

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

`y-7=2\left(x-3\right)`

Adding 7 to both sides

`y-7+7=2\left(x-3\right)+7`

`y=2x+1`

Therefore, an equation of the line passes through the given point (3, 7) and has a slope m = 2 will be:

• 
  `y=2x+1`