Answer:
B. y > 3x -7
Step-by-step explanation:
We can choose the correct inequality based on the y-intercept and the shading.
<h3>Y-intercept</h3>
The dashed line crosses the y-axis at approximately y=-7. This is the value of y when x=0. This observation eliminates choices D, E, F.
<h3>Shading</h3>
The shading on the graph is seen to be above and to the left of the line. This means the variables in relation to the inequality symbol must be ...
y > ( ) . . . . eliminates choice A
and
x < ( ) or ( ) > x . . . . eliminates choice C, confirms choice B
The inequality that matches the graph is y > 3x -7.
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<em>Additional comment</em>
For looking at shading, we are interested in the relation of the inequality symbol to a variable term with a <em>positive coefficient</em>. If the coefficient is negative, you can do either of ...
- add the opposite of that variable term to both sides of the equation
- reverse the inequality symbol
That is, if you have -3x < ( ), when considering shading, you can consider the relation x > ( ) with the inequality reversed, or you can consider ( ) < x, which has x on the other side of the inequality. Both of these tell you shading is right of the line, where x-values are greater than those on the line.
