jaydencordle06
Answered

Which of the following is a point-slope equation for a line with the point (-2, 4) and a slope of 3? O A. y - 4 = 3(x+2) B. y - 2 = 3(x-4) C. y + 2 = 3(x-4) O D. y - 4 = 3(x - 2)​

Answer :

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]A)\text{ } y-4=3(x+2)[/tex]

»»————-　★　————-««  

Here’s why:

⸻⸻⸻⸻  

[tex]\boxed{\text{Point-Slope Form Is...}}\\\\y-y_1=m(x-x_1)\\------------\\m - \text{slope}\\\\(x_1,y_1)- \text{point}[/tex]

⸻⸻⸻⸻

[tex]\boxed{\text{\underline{Information Given:}}}\\\\\rightarrow \text{The point of } (-2,4)\\\\\rightarrow \text{The slope of 3}\\\\\\\text{\underline{This means the following:}}\\\\\rightarrow m = 3\\\\\rightarrow(x_1,y_1) = (-2,4)[/tex]

⸻⸻⸻⸻

[tex]\boxed{\text{Replace the variables with the respective values:}}\\\\y-y_1=m(x-x_1)\\\\------------\\\rightarrow y-4=3(x-(-2))\\\\\rightarrow \boxed{y-4=3(x+2)}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Other Questions