Answered

Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Connect with professionals on our platform to receive accurate answers to your questions quickly and efficiently. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

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]

We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.