<span>y=(4/9)x-2 This is in slope intercept form (y=mx+b), where m is the slope. A perpendicular line will have the opposite reciprocal of the slope. So if the slope here is 4/9, then the perpendicular line's slope will be -9/4.
Now that you have the slope (-9/4) and a point (4, 3), you can use the point-slope formula to find the equation. y - y</span>₁ = m(x - x₁) y - 3 = (-9/4)(x - 4) y - 3 = (-9/4)x + 9 y = (-9/4)x + 12
So the answer will be: C. <span>y= -(9/4)x+12</span>
