Question

Write an equation in point-slope form for the line through the given point with the given slope.

Answer 1

Answer:

The required equation for the given point and the given slope is

$y+3=-\frac{1}{4}(x-8)$

Step-by-step explanation:

Given:

Let,

point A( x₁ , y₁) ≡ ( 8 ,-3)

$Slope = m =-\frac{1}{4}$  

To Find:

Equation of Line Passing through A( x₁ , y₁) with slope = -1/4

Solution:

Equation of a line passing through a points A( x₁ , y₁) and having slope m is given by the formula,

i.e equation in point - slope form

$(y-y_{1})=m(x-x_{1})$

Now on substituting the slope and point A( x₁ , y₁) ≡ ( 8 ,-3) we get

$(y-(-3))=-\frac{1}{4}(x-8)\\ \\y+3=-\frac{1}{4}(x-8)\ \textrm{which is the required equation in the option 2}$

The required equation for the given point and the given slope is

$y+3=-\frac{1}{4}(x-8)$