Answer:
[tex]-\frac{21}{2} x+5[/tex]
Step-by-step explanation:
To find the slope of the equation, you use [tex]\frac{rise}{run}[/tex] , or [tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex] :
[tex]\frac{-16-47}{2+4}[/tex]=[tex]\frac{-63}{6}[/tex]=[tex]\frac{-21}{2}[/tex]
Then you have to find the y intercept. First, plug in the x of a point and solve:
[tex]\frac{-21}{2}[/tex] * 2= -21
Then, find the distance between the answer and the y of the given point. Since our answer is smaller than the y of the point, we'll get a positive y- intercept.
21-16=5
This will give us the equation:
[tex]-\frac{21}{2} x+5[/tex]
