Question

Write the point-slope form of the equation of the line through the given point with the given

slope.
18) through: (3, -5), slope= -3

Answer 1

The point-slope form of the equation is:

• 
  `y-\left(-5\right)=-3\left(x-3\right)`

Explanation:

Given

• point (3, -5)

• slope = -3

We know the point-slope form of the line equation is

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

where m is the slope

substituting the values m = -3 and the point (3, -5)

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

`y-\left(-5\right)=-3\left(x-3\right)`

Thus, the point-slope form of the equation is:

• 
  `y-\left(-5\right)=-3\left(x-3\right)`