MATH SOLVE

4 months ago

Q:
# What is the y-intercept of the line perpendicular to the line y = 3/4x+3 that includes the point (3, 1)?

Accepted Solution

A:

Answer:The y-intercept is the point (0,5)Step-by-step explanation:step 1Find the slope of the line perpendicular to the line y=(3/4)x+3Remember that If two lines are perpendicular, then the product of their slopes is equal to -1m1*m2=-1we havem1=3/4 -----> the slope of the line y=(3/4)x+3Find m2substitute(3/4)*m2=-1m2=-4/3step 2Find the equation of the line into point slope formThe equation is equal toy-y1=m(x-x1)we havem=-4/3(x1,y1)=(3,1)substitutey-1=-(4/3)(x-3) ----> equation of the line into point slope formstep 3Find the y-interceptThe y-intercept is the value of y when the value of x is equal to zerosoFor x=0substitute in the equation of the line and solve for yy-1=-(4/3)(0-3)y-1=4y=4+1=5The y-intercept is the point (0,5)