Answer:
y = -1.5x - 1
Step-by-step explanation:
1. Plot the point (2, -4) on the graph
2. Plot a second point on the graph
Slope = -1.5
When x increases one unit, y decreases 1.5 units.
Let's increase x by 2 units. Then y decreases by three units.
Find the point two units to the right of (2, -4) and three units down.
It's (4, -7).
Draw a line through the two points.
3. Write the equation for the graph
The general formula for a straight line is y =mx + b.
m = -1.5, so
y = -1.5x + b
The y-intercept is the value of y when x = 0.
We see from the graph that the y-intercept is at (0, -1), so b = -1.
The equation of the graph is
y = -1.5x - 1
