Answer:
y = 3x - 9
Step-by-step explanation:
✔️Find the slope of the line perpendicular to the given graph of equation:
A line that is perpendicular to the graph of the equation y = -⅓x + 4, will have a slope value that is the negative reciprocal of the slope of the graph of the given equation.
The slope of y = -⅓x + 4 is -⅓.
Negative reciprocal of -⅓ = 3
Slope of the line (m) = 3
✔️Find the y-intercept (b):
Substitute (x, y) = (4, 3) and m = 3 into y = mx + b
3 = 3(4) + b
3 = 12 + b
3 - 12 = b
-9 = b
b = -9
✔️Write the equation:
Substitute m = 3 and b = -9 into y = mx + b
y = 3x + (-9)
y = 3x - 9
