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

the graph will be a dashed line with a y-intercept of negative four and a slope of seven. the graph will be shaded below the line.

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.

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

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

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 .

We get,

From the given linear equation ,

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,

, 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.

a.   we have two

lines:   y = 4-x   and  

y = 8-x^-1

given two simultaneous equations that are both to be

true, then the solution is the points where the lines cross. the intersection is

where the two equations are equal. therefore the solution that works for both

equations is when

4-x = 8-x^-1

this is where the two lines will cross and that is the

common point that satisfies both equations.

b.   4-x = 8-x^-1

  x           4-x       8-x^-1

-3           7        

8.33

-2           6         8.5

-1           5         9

  0           4        

-

  1           3        

7

  2           2        

7.5

  3           1         7.67

the table shows that none of the x values from -3 to 3 is

the solution because in no case does

4-x = 8-x^-1

to find the solution we need to rearrange the equation to

find for x:

4-x = 8-x^-1

multiply both sides with x:

4x-x^2 = 8x-1

x^2+4x-1=0

x= -4.236, 0.236

therefore there are two points that satisfies the

equation.

find y:  

x=-4.236

y = 4-x   = 4 – (-4.236)

= 8.236

y = 8-x^-1 =   .236)^-1

= 8.236

x=0.236

  y = 4-x   = 4 – (0.236) = 3.764

y = 8-x^-1 =   8-(0.236)^-1

= 3.764

thus the two lines cross at 2 points:

(-4.236, 8.236) & (0.236, 3.764)

c.   to solve

graphically the equation 4-x = 8-x^-1

we would graph both lines: y = 4-x   and   y

= 8-x^-1

the point on the graph where the lines cross is the

solution to the system of equations.

just graph the points on part b on a cartesian coordinate

system and extend the two lines.   the

solution is, as stated, the point where the two lines cross on the graph.

step-by-step explanation:

mark brainliest!

d. you cannot tell because there are no values shown.