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mamieengler

23.11.2021

Mathematics

B. The graph will be a solid line with a y-intercept of negative four and a slope of seven. The graph will be shaded above the line.

Step-by-step explanation:

We are given the linear inequality $y\geq 7x-4$ .

The slope-intercept form y=mx+c

, where m= slope and b= y--intercept.

We get,

From the given linear equation y=7x-4 ,

Slope of the equation = 7

Y-intercept of the equation = -4.

Moreover, the inequality include the '≥' sign, this means that the line of the graph will be solid.

'Zero Test' states that 'If after substituting (0,0) in the inequality, if the result is true, then the solution region is towards the origin and if the result is false, the solution region is away from the origin.

Then, substituting (0,0) in the inequality given, we have,

$y\geq 7x-4\\\\0\geq 7\times 0-4\\\\0\geq -4$ , which is true.

So, the solution region of the inequality will be towards the origin.

Hence, the correct description for the linear inequality is,

B. The graph will be a solid line with a y-intercept of negative four and a slope of seven. The graph will be shaded above the line.

Which description of the graph of the linear equality y ≥ 7x – 4 is correct? the graph will be a da

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