Find the equation of the line that passes through (-1,5) and is perpendicular to y – 5x = 1.

The answer is

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

y - 5x = 1

y = 5x + 1

Comparing with the above formula

The slope / m of the line is 5

Since the is perpendicular to y = 5x + 1 it's slope it's the negative inverse of y = 5x + 1

That's

Slope of the perpendicular line = - 1/5

Equation of the line using point (-1,5) is

We have the final answer as

Hope this helps you

Step-by-step explanation:

The slope-intercept form of an equation of a line:

m - slope

b - y-intercept

Let

therefore

We have the equation of a line in the standard form. Convert it to the slope-intercept form:

     add 5x to both sides

Calculate the slope:

Substitute the value of a slope and the coordinates of the given point (-1, 5) to the equation of a line:

          subtract 1/5 from both sides

Final

convert to the standard form (Ax + By = C):

      multiply both sides by 5

       add x to both sides

the answer is 37

step-by-step explanation:

34

step-by-step explanation: