Respuesta :
Answer:
The correct option is B
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:
The given equation is
y ≥ 7x - 4
Consider only the equality sign:
y = 7x-4
or
y = 7x + (-4)
The general form of any linear equation is given by:
y = mx + c
By comparing, we can see that:
m = slope = 7
Secondly consider the equation
y ≥ 7x - 4
We know that generally for the signs "equal to and greater/smaller than", we use a solid line, and for the signs "greater/smaller than", we use a dashed line.
Hence, to graph this equation we'll use a solid line.
Thirdly, find y intercept by putting x=0
y = 7(0) - 4
y = -4
The correct option is B
Correct description of the given inequality will be, A solid line with y-intercept (-4) and slope 7. The graph will be shaded above the line.
Slope form of the line is given by equation,
y = mx + b
Where 'm' = Slope of the line
b = y-intercept
For a line having equation,
y = 7x - 4
Slope = 7
y-intercept = -4
If the line is an inequality, properties of the inequality will be defined by,
- If the line is having a sign equal to (=), graph of the line will be a solid line.
- If the solid line has a sign of greater than (>), solution set (shaded region) of the inequality will be above the line.
- If the line has a sign of less than (<), solution set of the inequality will be below the line.
By these properties,
inequality y ≥ 7x - 4 will show,
- A solid line with slope 7 and y-intercept as (-4).
- Shaded area will be above the solid line.
Therefore, the graph will be a solid line with y-intercept (-4) and slope 7. The graph will be shaded above the line.
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