Question

What equation is graphed in this figure?

O y-4=-+2)
O y-3=(+1)
O y+2=-3(z-1)
•y-5=3(*–1)

Answer 1

The equation of the graphed figure can be presented as follows;

y + 4 = 3·(x + 2)

Explanation:

The characteristics of the given graph in the figure are;

y-intercept = (0, 2)

When y = -4, x = -2

Therefore, the slope = (-4 - 2)/(-2 - 0) = 3

Therefore, the equation of the graph in point and slope form is given as follows;

y -(-4) = 3(x - (-2)), which gives;

y + 4 = 3·(x + 2)

Therefore, the equation of the graphed figure is y + 4 = 3·(x + 2)