A linear function includes the points (4,−3) and (−9,4) . What fraction in lowest terms represents the output value of this function for an input of zero?

Question

A linear function includes the points (4,−3)(4,−3) and (−9,4)(−9,4). What fraction in lowest terms represents the output value of this function for an input of zero?

Answer 1

(4,-3), (9,-4)

have a line through them with slope = (-3+4)/(4-9) = -1/5

= (y+3)/(x-4)

y+3= (-1/5)(x-4)

y +3 = (-1/5)x+4/5

y= -.2x +.8-3

y = -.2x-2.2

y= -x/5 - 11/5 is the equation of the line through the given points in y intercept form, y intercept =-11/5

if x= 0 = input

then output = y = -0/5-11/5= the y intercept

= -11/5