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Find an equation of the line with the given slope that passes through the given point. Write the equation in the form Ax + By = C.

m = 4, (6,6)

Find An Equation Of The Line With The Given Slope That Passes Through The Given Point Write The Equation In The Form Ax By C M 4 66 class=

Sagot :

xKelvin

Answer:

[tex]4x-y=18[/tex]

Step-by-step explanation:

We want to find the equation of a line in standard form with a slope of 4 and passes through the point (6, 6).

First, we can write it in point-slope form. Point-slope form is given by:

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

Where (x₁, y₁) is a point and m is the slope.

Substitute:

[tex]y-6=4(x-6)[/tex]

Distribute the right:

[tex]y-6=4x-24[/tex]

Now, we can separate all the variables and the constants. Subtract 4x from both sides:

[tex]-4x+y-6=-24[/tex]

Add add 6 to both sides:

[tex]-4x+y=-18[/tex]

Traditionally, A or the coefficient of x is always positive. Hence, we can divide both sides by -1 to acquire:

[tex]4x-y=18[/tex]

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