What is the slope of the line that contains these points? x| -7. -6. -5. -4 y| 21. 17. 13. 9

Step-by-step explanation:

Given the line containing the points.

x | -7. -6. -5. -4

y | 21. 17. 13. 9

The slope of the line is expressed as m = Δy/Δx = y₂-y₁/x₂-x₁

Using the coordinates y (21, 17) and corresponding value of  x(-7, -6)

y₁ = 21, y₂ = 17 x₁ = -7, x₂ = -6

Substituting the values into the formula for calculating the slope, we have;

m = Δy/Δx = 17-21/-6-(-7)

m = -4/-6+7

m = -4/1

m = -4

Hence the slope of the line that contains these points is -4

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.