Question

......................​

Answer 1

Answer:

y = 5x

Step-by-step explanation:

When line A is perpendicular to line B, the slope of line A is the negative reciprocal of line B. Negative reciprocals are numbers whose denominators and numerators are swapped and is multiplied by -1 (i.e. if the original number is positive, then the negative reciprocal will be a negative number, and vice versa).

$-\frac{1}{5}$    ⇒    $\frac{5}{1}$

So, the slope of the line we're looking for must be 5 because 5 is the negative reciprocal of -1/5. Then, we can substitute the point (-2, -2) for x and y variables in the equation y = 5x + b to find the value of b, which represents the y-intercept of the graph.

-2 = (5)(-2) + b

-10 = -10 + b

0 = 5b

b = 0

Thus the equation of the line perpendicular to the original line is:

y = 5x.

Answer 2

answer:

y = 5x + 8

explanation:

Here we can see that the slope is $-\frac{1}{5}$

using formula: $\boxed{\frac{-1}{m}}$

$\boxed{\frac{-1}{-\frac{1}{5} }}$

→ 5 .......this is the perpendicular slope.

using $\boxed{y-y1= m(x-x1)}$

→  y - - 2 = 5 ( x - - 2)

→  y + 2 =  5x + 10

→  y = 5x + 8

Learn more about slopes at: https://brainly.com/question/26583465