Respuesta :

Answer:

The equation of the line in slope-intercept formula is [tex]y = \frac{x}{6} - 5[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line, in slope-intercept formula, is given by:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept(value of x when y = 0).

In this question:

[tex]18y - 3x = -90[/tex]

Isolating y:

[tex]18y = 3x - 90[/tex]

[tex]y = \frac{3x}{18} - \frac{90}{18}[/tex]

Simplifying the fractions:

[tex]y = \frac{x}{6} - 5[/tex]

The equation of the line in slope-intercept formula is [tex]y = \frac{x}{6} - 5[/tex]