roman4566 roman4566
  • 11-10-2021
  • Mathematics
contestada

If a line has slope -4/3 and passes through the point (-3, 7), what is the y-intercept of the
line?

Respuesta :

jimrgrant1 jimrgrant1
  • 11-10-2021

Answer:

y- intercept = 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - [tex]\frac{4}{3}[/tex] , then

y = - [tex]\frac{4}{3}[/tex] x + c

To find c substitute (- 3, 7 ) into the equation

7 = - [tex]\frac{4}{3}[/tex] (- 3) + c

7 = 4 + c ⇒ c = 7 - 4 = 3 ← y- intercept

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