Hi Elizabeth B.
There appears to be some problem in the translation of characters between your input and the website.
If your question is as follows:
You need to write an equation of the line that passes through the point (3,8) and perpendicular to the line
y= 5x - 4
Your given line is in Slope Intercept Form, where m represents the slope
y = mx + b
m = 5
Perpendicular lines have inverse slopes of opposite signs, the slope of your perpendicular line is (-1/5)
You can start your equation in Slope Intercept form as
y= (-1/5)x + b
Next you can use the coordinates of the point given to solve for b
8 = (-1/5)(3) + b
8 = (-3/5) + b
8 + (3/5) = b
(40 + 3)/5 = b
b = 48/5
Your perpendicular line is
y = (-1/5)x + 48/5
I hope this helps if you have any questions just send me a message
