Question

Write in slope-intercept form an equation of a line that passes through the point (8, 2) that is perpindicular to the graph of the equation y=4x−3

Answer 1

y=mx+b
m=slope

perpendicular lines have slopes tha tmultily to -1

y=4x-3
slope=4

perpendiuclar is
4 times what=-1?
-1/4

y=-1/4x+b
sub that opint
(8,2)
x=8
y=2

2=-1/4(8)+b
2=-2+b
add 2
4=b

y=-1/4x+4 is answer

Answer 2

I wrote the equation y=4x-30. I attached an image of a graph that has the original line (in blue) the point you gave (red dot), and my line (in green) for you to see.