Answer:
Option D
Step-by-step explanation:
The given equation is 9x + 12y = 48.
When we simplify this equation by dividing through by 3, we obtain:
[tex]3x + 4y = 12[/tex]
The slope-intercept form is
[tex]y = - \frac{3}{4} x + 3[/tex]
The slope is
[tex] - \frac{3}{4} [/tex]
and the y-intercept is 3.
An equation that forms a pair of linear equations with 9x + 12y = 48 such that the system has no solution must have a slope of
[tex] - \frac{3}{4} [/tex]
and a y-intercept not equal to 3.
That should obviously be the last option.
D) 6x +8y=32
The slope-intercept form is:
[tex]y = - \frac{3}{4} x + 8[/tex]
