Consider the line 6x+5y=2

what is the slope of a line parallel to this line?

what is the slope of a line perpendicular to this line?

slope of a parallel line:
slope of a perpendicular line:

Step-by-step explanation:

Given

line: 6x + 5y = 2

Step One

Find the line given's slope.

6x + 5y = 2               Subtract 6x from both sides

6x-6x + 5y=2-6x      Combine like terms on the left

5y = 2 - 6x                Divide by 5.

5y/5 = -6x/5 + 2/5    Do the division

y = -(6/5)x     + 2/5

Step Two

Find the parallel slope. Use the number in front of the x

Just read what you have: -6/5

Step Three

Find the perpendicular slope.

Let m1 be the given slope -(6/5)

Let m2 be the perpendicular slope

m1 * m2 = -1

(-6/5) * m2 = - 1           Multiply both sides by 5

(-6/5)*5 * m2 = - 1 * 5  Combine the left 5s cancel.

-6 * m2 = - 5                Divide by - 6

-6 * m2/-6 = -5/-6

m2 = 5/6

Slope of the perpendicular line = 5/6

choice b is correct

step-by-step explanation:

we have been given the following system of inequalities;

we are required to graph the solution to the system of inequalities. using a graphing tool, the graph of the system is as shown in the attachment. the continuous line represents the graph of while the dotted line represents .

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it