Question

find an equation of the line having the given slope and containing the given point . Slope -2; through (6,-9) . type answer in slope-intercept form .

Answer 1

Given:

The slope of the line is m = -2.

The line passes throught the point (6,-9).

The objective is to find the equation of line.

Step-by-step explanation:

Consider the point as,

`(x_1,y_1)=(6,-9)`

The general equation to find the equation of line in slope intercept form is,

`y-y_1=m(x-x_1)`

Substitution:

On plugging the given values in the general equation,

`\begin{gathered} y-(-9)=-2(x-6) \\ y+9=-2x+12 \\ y=-2x+12-9 \\ y=-2x+3 \end{gathered}`

Here, slope of the line is -2 and y- intercept is 3.

Hence, the equation of the line in slope intercept form is y = -2x + 3.