Please help me!!
The graph of line l is shown below

Which of the following is an equation for a line that is parallel to line l in the graph?
A) x = 5 y
B) x = −2
C) y = 5
D) y = −5 x

Given:

Points on the line are (5, 7) and (5, -5).

To find:

Equation of a line parallel to line l.

Solution:

Let us first find the slope of line l.

Slope of the line formula:

m = undefined

The line intersects at x-axis, so the y-intercept is 0.

Equation of line l is x = 5.

If two lines are parallel, then their slopes are equal.

In the option, find the line which also have slope undefined.

Option A: x = 5y

Divide by 5 on both sides, we get

Here slope is . So it is not parallel to line l.

Option B: x = -2

Here, the slope is undefined. It also passes through the x-axis.

Therefore, it is parallel to line l.

Option C: y = 5

Here, the line passes through y-axis.

So, it is not parallel to line l.

Option D: y = -5x.

Here, the slope is -5.

So, it is not parallel to line l.

Hence x = -2 is and equation for a line that is parallel to line l in the graph.

es una operación aritmética.

step-by-step explanation:

no se que fórmula requiera, pero te puedo decir que es adición. deberías revisar porque tema vas y ver que fórmulas puedes aplicar.

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.