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

a. -5/4

b. 3

c. -13/4

d. 5

  D.  5

Step-by-step explanation:

The attached shows a graph of the line in point-slope form. It has a y-intercept of 5.

The slope of the given line is 3/4. The slope of the perpendicular line will be the negative reciprocal of that: -1/(3/4) = -4/3.

The point-slope form of the equation of a line with slope m through point (h, k) can be written ...

  y = m(x -h) +k

For the desired slope and given point, this equation is ...

  y = (-4/3)(x -3) +1 = (-4/3)x +4 +1

  y = (-4/3)x +5 . . . . . equation in slope-intercept form

The y-intercept is seen to be 5.

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.

lol we need to see what the question is asking about

step-by-step explanation: