Respuesta :
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]y=-\frac{1}{5}x+\frac{23}{5}[/tex]
»»————- ★ ————-««
Here’s why:
- We first need to find the slope of the equation.
⸻⸻⸻⸻
[tex]\boxed{\text{\underline{Slope Is...}}}\\\\\rightarrow\frac{y_2-y_1}{x_2-x_1}\\\\\boxed{\text{Key:}}\\\\\rightarrow (x_1,y_1)\text{ and }(x_2,y_2) - \text{Two Points Given}[/tex]
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the Slope...}}\\\\\rightarrow m=\frac{4-5}{3-(-2)}\\\\\rightarrow m=\frac{-1}{5}\\\\\rightarrow \boxed{m=-\frac{1}{5}}\\\\\\\text{The slope is } -\frac{1}{5}.[/tex]
⸻⸻⸻⸻
- We then need to find the y-intercept of the equation.
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the intercept...}}\\\\y=-\frac{1}{5}x+b\\-------------\\\rightarrow 4 = -\frac{1}{5}(3) +b\\\\\rightarrow4= -\frac{3}{5}+b\\\\\rightarrow4+\frac{3}{5}= -\frac{3}{5}+\frac{3}{5} +b\\\\\rightarrow \boxed{\frac{23}{5}=b}[/tex]
⸻⸻⸻⸻
[tex]\text{The equation should be: }\boxed{ y=-\frac{1}{5}x+\frac{23}{5} }.[/tex]
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
