Answer:
y = -2x + 3
Step-by-step explanation:
The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:
[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
The table shows three points (-1,5) (-4,11) (-7,17). We only need two of them to make a line. Let's use the two first points:
[tex]\displaystyle y-5=\frac{11-5}{-4+1}(x+1)[/tex]
[tex]\displaystyle y-5=\frac{6}{-3}(x+1)[/tex]
[tex]\displaystyle y-5=-2(x+1)=-2x-2[/tex]
Solving for y:
y = -2x + 3
To verify, we substitute the last point (-7,17)
17=-2(-7)+3=14+3=17
The equality verifies, thus the equation of the line is
y = -2x + 3
