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Answer:
2x + y < 7
Step-by-step explanation:
First we find the slope of the line that passes through the given points. The formula for slope is:
Using our points, we have
The y-intercept will be the point where the data crosses the y-axis. All y-intercepts have an x-coordinate of 0; since we already have the point (0, 7), we have the y-intercept at 7. This makes our equation
y = -2x + 7
The inequalities we're given are written in standard form, Ax+By=C. This means we need x and y on the same side of the equals in our equation.
Since the inequality is graphed below the line, we want our inequality to be
y < -2x+7
To move the x-value to the other side of the equation, we will add 2x to each side:
y+2x < -2x+7+2x
y+2x < 7
2x+y < 7