What is the equation of the line that passes through (-6, 1) and is perpendicular to #y = 3/8 x +4#?
1 Answer
Explanation:
Perpendicular lines have slopes that are the negative reciprocal of each other, and since the slope of
Now that we have the slope, we must find the y-intercept so that the point (-6, 1) fits on the line.
To do this, we can simply plug in the x value into our current slope:
x coordinate = -6; slope =
y = mx + b
y = 16 + b
If the y coordinate = 1, then subtracting 15 from our current answer will fit the criteria of the graph; in other words, our b value has to be -15.
16 - 15 = 1
Therefore, putting the pieces together will give you
You may plug in the coordinates (-6, 1) back into the equation to check.
Hope this helps!
Best wishes,
A high school student