Write an equation of a line that is perpendicular to the given line an that passes through the given point 4x-12y=2; (10,-1)

The equation of the line would be y = -3x + 29

Step-by-step explanation:

In order to find the equation, you first need to solve the original equation for y to find the slope.

4x - 12y = 2

-12y = -4x + 2

y = 1/3x -1/6

Now that we have the slope of -1/3, we know the perpendicular slope will be -3. This is because perpendicular lines have opposite and reciprocal slopes. Now we can use that and the point in point-slope form to get the equation.

y - y1 = m(x - x1)

y + 1 = -3(x - 10)

y + 1 = -3x + 30

y = -3x + 29

step-by-step explanation: