Answer: B. y - 3 = -(x + 5)
Step-by-step explanation:
Find two easy points on the graph to calculate the slope:
The slope is calculated using [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex], so substitute in the values:
[tex](x_{1}, y_{1}) = (-2, 0)\\(x_{2}, y_{2}) = (0, -2)\\ \frac{y_{2}-y_{1} }{x_{2}-x_{1}} =\frac{(-2)-0}{0-(-2)} =\frac{-2}{0+2} =\frac{-2}{2} =-1[/tex]
The y-intercept is where it intersects the y-axis. It's -2.
Therefore, if you put it together, the function would be y = -x - 2
Solve each answer choices and find the one that matches the function:
B.[tex]y-3=-(x+5)\\y-3=-x-5\\y=-x-5+3\\y=-x-2[/tex]