Which of the sets of equations represent the two lines graphed?
A) y = x + 2 and y = x - 4
B) y = x + 2 and y = -x - 4
C) y = -x + 2 and y = x - 4
D) y = x - 2 and y = -x - 4

B)y = x + 2 and y = -x - 4

Step-by-step explanation:

Let the equation of a straight line with x-intercept 'a' and y-intercept 'b' be

The line with positive slope has x-intercept a=-2 and y-intercept b=2.

Its equation is:

Multiply through by 2

Solve for y,

For the line with a negative slope,

the x-intercept is a=-4 and the y-intercept is b=-4

Its equation is

Multiply through by -4

Solve for y

answer: about 22.67

step-by-step explanation:

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