Question

Which equation is graphed here

Answer 1

The equation graphed is A

Answer 2

Answer:

Option A.

$y= -3x +3$

Step-by-step explanation:

The equation of a line in the slope-intersection form is:

$y = mx + b$

Where m is the slope and b is the intersection with the y axis.

Notice in the graph that the given line cuts to the y-axis at $y = 3$.

This means that the value of b must be positive and equal to 3.

Therefore we can discard options B and D.

The equation will be:

$y = mx +3$

Now we need to find the slope m of the line.

Notice that the graph cuts to the x-axis at point (1.0)

Substitute this point in the equation and clear m.

$0 = m (1) +3$

$m = -3$

Therefore the slope of the line is $m = -3$

and the equation is:

$y = -3x +3$