Question

Find an equation for the line with the given properties. Express the equation in​ slope-intercept form.

Answer 1

Answer:

or, y + 4 = m (x - 7) + c is the given equation.

Step-by-step explanation:

Here, the slope of the equation = -5

⇒m = -5

The given point is (7, -4)

⇒$(x_{0}, y_{0}) = (7,-4)$

Now, the general form of the equation is :

$y - y_{0} = m(x - x_{0}) + c$  : c = arbitrary constant

So, the given equation becomes

$y - (-4) = m(x - 7) + c$

or, y+ 4 = m (x - 7) + c is the given equation.

Here, m = the slope of the equation.