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

Question

-5/4

3

-13/4

5

Answer 1

The proces is from Algebra 1.

y = (3/4)x + 3, What is the slope of this line?

The slope of the line perpendicular is the negative reciprocal.

What is that?

Use that slope and the given points in a new slop-intercept form.

Answer 2

y = 3/4x + 3

a perpendicular line would have a slope of -4/3 since slopes of perpendicular are the negative reciprocal of each other.

So our equation would be y = -4/3x +b where b is the y intercept we are looking for

substitute the y an x values from the point it passes through (3,1)

1 = (-4/3)(3) + b

1 = -4 + b

b = 5 so the y intercept is 5