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We conclude that the slope of the line that is perpendicular to will be: -1/3

Step-by-step explanation:

Given the equation

Comparing with the slope-intercept form

Here, m is the slope and b is the y-intercept.

so

Here the slope of line = m = 3

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so

the slope of the perpendicular line will be: -1/3

Therefore, we conclude that the slope of the line that is perpendicular to will be: -1/3

no solution

step-by-step explanation:

there is not enough information in the problem to solve.

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.