Answer:
y = 10/3x - 18
Step-by-step explanation:
The equation for a line is y = mx + b
where m is the slope
and b is the y-intercept
The slopes of two perpendicular lines are negative reciprocals of each other
For example: 5/2 and -2/5
The slope of the original equation, -0.3, can be shown as the fraction -3/10
the negative reciprocal of this is 10/3
So the slope of the new line is 10/3
We can show this in the equation as y = 10/3x + b
Now all we have to do is find the y-intercept
We can do this by substituting in the point where the line passes through in the x and y spots of the equation
So:
-8 = 10/3(3) + b
Now we can simplify to find b
10/3 x 3 = 30/3 = 10
-8 = 10 + b
-18 = b
This makes the final equation
y = 10/3x - 18
