Question

Like V has an equation of y=-10/9x-3. Perpendicular to line V is line W, which passes through the point (2,3). What is the equation of line W?

Answer 1

Explanation:

The slope of a line perpendicular to y=-10/9x-3 has a slope equal to the negative reciprocal of -10/9. The slope of line W can be calculated as follows:

m = -(-9/10) = 9/10

The equation of the line in point-slope form is:

y - 3 = (9/10)(x - 2)

Expanding the equation gives:

y - 3 = (9/10)x - (9/5)

Solving for y:

y = (9/10)x - (9/5) + 3

y = (9/10)x + (6/5)

The equation of line W is:

y = (9/10)x + (6/5)