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)