Question

Hi! Can someone help me with this question on my practice work?

Answer 1

`y\text{ > }(-3)/(2)x\text{ - 2}`

Step-by-step explanation

We want to find the equation of the line given on the graph.

First, we must recognise that the graph is shaded above the line and the line is broken.

This means that we use the greater than symbol.

To find the inequality, first, we have to first identify the gradient.

The slope is -3/2.

To find the equation, we use the slope-intercept formula:

y > mx + c

where c = y intercept

The y intercept is the point where the graph touches the y axis and that is -2.

Therefore, the inequality is:

`y\text{ }>\text{ }(-3)/(2)x\text{ - 2}`