contestada

Which of the following statements is true about the graph of the equation 2y - 3x = -4 in
the xy-plane?

Respuesta :

Answer:

See Explanation

Explanation:

Given

[tex]2y - 3x = -4[/tex]

Required

Identify the true statements

No option attached to the question. However, some attributes that can be look out for are:

  • The slope
  • The y intercept

[tex]2y - 3x = -4[/tex]

Solve for 2y

[tex]2y = 3x - 4[/tex]

Solve for y

[tex]y = \frac{3}{2}x - \frac{4}{2}[/tex]

[tex]y = \frac{3}{2}x - 2[/tex]

A linear equation has the slope form: [tex]y = mx + b[/tex] where

[tex]m = slope[/tex]

[tex]b = y\ intercept[/tex]

By comparison:

[tex]m = \frac{3}{2}[/tex]

[tex]b = -2[/tex]

Hence, the slope of the equation is 3/2 and the y intercept is -2