Answered

Get the answers you need at Westonci.ca, where our expert community is always ready to help with accurate information. Explore our Q&A platform to find reliable answers from a wide range of experts in different fields. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

Enter an equation in standard form for the line.
Slope is -4, and (-9, -12) is on the line.

Sagot :

VirαtKσhli

Answer:

[tex] 4x + y +48=0[/tex]

Step-by-step explanation:

We are here given the slope of the line and one point through which it passes . The slope of the line is -4 and the point is (-9,-12) .

Here we can use the point slope form of the line as ,

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

Substitute the respective values ,

[tex]\sf\longrightarrow y - (-12) = -4\{ x -(-9)\} [/tex]

Simplify LHS and RHS ,

[tex]\sf\longrightarrow y + 12 = -4( x +9) [/tex]

Open the brackets in RHS ,

[tex]\sf\longrightarrow y + 12 = -4x -36 [/tex]

Add 36 and 4x to both sides ,

[tex]\sf\longrightarrow \underline{\boxed{\orange{\sf 4x + y + 48 =0}}}[/tex]

We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.