Answer:
y = -3x + 15
Step-by-step explanation:
The general structure for an equation is slope-intercept form is:
y = mx + b
In this form, "m" is the slope and "b" is the y-intercept.
The slope of a perpendicular line is the opposite signed, reciprocal of the original line's slope. So, if the slope in the original equation is (m = 1/3), the slope of the perpendicular line is (m = -3).
Now that we know the slope, we can use the "x" and "y" values from the given point to find the value of "b".
y = mx + b <----- Slope-intercept form
y = -3x + b <----- Plug -3 into m
-3 = -3(6) + b <----- Plug in "x" and "y" values from point (6,-3)
-3 = -18 + b <----- Multiply -3 and 6
15 = b <----- Add 18 to both sides
Since we identified that m = -3 and b = 15, you can substitute these values into the general equation to find the equation of the new line.
y = -3x + 15
