Respuesta :

x intercept is when y = 0
0 = 3x - 4
4 = 3x, x = 4/3
y intercept is when x = 0
y = 3(0) - 4
y = 0-4, y = -4
Solution: x intercept: (4/3,0)
y intercept: (0,-4)

Answer:

y-intercept: -4

x-intercept: [tex]\frac43[/tex]

Step-by-step explanation:

Hello!

Equation of a Line: [tex]y = mx + b\\[/tex]

  • m = slope
  • b = y-intercept

Given our equation: [tex]y = 3x - 4[/tex]

  • slope = 3
  • y-intercept = -4

The y-intercept is -4.

You can calculate the x intercept by plugging in 0 for y and solving for x.

Solve for x-intercept

  • [tex]0 = 3x - 4[/tex]
  • [tex]4 = 3x[/tex]
  • [tex]\frac43 = x[/tex]

The x-intercept is [tex]\frac43[/tex].