Question

The equation of line r is y–9=4(x–4). The line s is perpendicular to line r and passes through the point (6,–5). What is the equation of line s?

Answer 1

To find the equation of a line perpendicular to line r, we need to determine its slope and use the point-slope form of an equation.

Step-by-step explanation:

To find the equation of a line perpendicular to line r, we need to determine its slope. The slope of line r is 4. In order for line s to be perpendicular to line r, its slope must be the negative reciprocal of 4, which is -1/4.

Now that we have the slope of line s, we can use the point-slope form of an equation to find its equation. We'll use the given point (6,-5) and the slope -1/4 to write the equation.

The equation of line s is y - (-5) = -1/4(x - 6).