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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 .

Find An Equation Of The Line Having The Given Slope And Containing The Given Point Slope 2 Through 69 Type Answer In Slopeintercept Form class=

Sagot :

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.

Explanation:

Consider the point as,

[tex](x_1,y_1)=(6,-9)[/tex]

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

[tex]y-y_1=m(x-x_1)[/tex]

Substitution:

On plugging the given values in the general equation,

[tex]\begin{gathered} y-(-9)=-2(x-6) \\ y+9=-2x+12 \\ y=-2x+12-9 \\ y=-2x+3 \end{gathered}[/tex]

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.

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