Which of the following is the equation of a line that is perpendicular to the graph of y = 25x − 1? A. y = 25x − 4
B. y = −52x − 4
C. y = −25x − 4
D. y = 52x −

From the given option the slope of the line -5/2 is shown by the equation     that is option B) and this can be determined by using the slope-intercept form.

Given :

Equation --         ---- (1)

First, determine the slope of the given line by using the slope-intercept form. The slope-intercept is given by the equation:

y = mx + c

Now, compare equation (1) with the above equation.

c = -1

For a line to be perpendicular to the other line the product of the slope of both the line is equal to -1, that is:

So, the slope of the line perpendicular to the line  is:

So, from the given option the slope of the line -5/2 is shown by the equation     that is option B).

For more information, refer to the link given below:

link

Given:

Consider the given equation is

To find:

The equation of a line that is perpendicular to the graph of given line.

Solution:

Slope intercept form of a line is

where, m is slope and b is y-intercept.

Equation of given line is

Here, slope is .

We know that, product of slopes of two perpendicular lines is -1.

The slope of perpendicular line is .

Only in option C, the slope of the line is .

Therefore, the correct option is C.

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form

ab will be equal to