Answer:
The y-intercept is the point (0,5)
Step-by-step explanation:
step 1
Find the slope of the line perpendicular to the line y=(3/4)x+3
Remember that
If two lines are perpendicular, then the product of their slopes is equal to -1
m1*m2=-1
we have
m1=3/4 -----> the slope of the line y=(3/4)x+3
Find m2
substitute
(3/4)*m2=-1
m2=-4/3
step 2
Find the equation of the line into point slope form
The equation is equal to
y-y1=m(x-x1)
we have
m=-4/3
(x1,y1)=(3,1)
substitute
y-1=-(4/3)(x-3) ----> equation of the line into point slope form
step 3
Find the y-intercept
The y-intercept is the value of y when the value of x is equal to zero
so
For x=0
substitute in the equation of the line and solve for y
y-1=-(4/3)(0-3)
y-1=4
y=4+1=5
The y-intercept is the point (0,5)
