Question

Write the equation of a line that is perpendicular to y = 1/5 x + 12 passes through the point (- 4, 1)

Answer 1

y = -5x - 19

Step-by-step explanation:

The equation of the line is given as:

y =
`(1)/(5)x` + 12

Points = (-4, 1)

Now,

A line perpendicular to this given line will have slope which is a negative inverse of the given one.

Any straight line will have the equation;

y = mx + c

y and x are the coordinates

m is the slope

c is the y-intercept;

y =
`(1)/(5)x` + 12 , slope of a line perpendicular is -5;

Let us find the y-intercept c, of the new line;

1 = -5(-4) + c

1 = 20 + c

c = -19

Now, the equation of the line is;

y = -5x - 19