Question

Write an equation of a line perpendicular to the line y = -1/5x -3 and goes through the point (6,2), then use Point- Slope form to write the equation of the line. Then convert into Slope-Intercept Form.

Answer 1

The equation of the line would be y = 5x - 28

Explanation:

First, we need to know that perpendicular lines have opposite and reciprocal slopes. Give that information, we know that the new line will be the reciprocal and opposite of -1/5. This would be 5. Now that we have that information, we can use it along with a point to fill in the point-slope form of the equation.

y - y1 = m(x - x1)

y - 2 = 5(x - 6)

Then we must solve for y.

y - 2 = 5(x - 6)

y - 2 = 5x - 30

y = 5x - 28