Respuesta :

The correct classification is: c) intersecting

Answer:

Intersecting

Step-by-step explanation:

5x + 6y = 1

y = -5x + 6

Solve the first equation for y

5x +6y =1

Subtract 5x on both sides

6y= -5x +1

Now divide each term by 6

[tex]y= \frac{-5x}{6} + \frac{1}{6}[/tex] , slope = -5/6

y= -5x + 6 is the second equation, slope = -5

We got equation in the form of y = mx + b

When the slopes (m) are equal then the lines are parallel

When the slopes(m) and y intercept b are equal then the lines are coincident

In both the equations the slopes are not same, So they are intersecting lines.

Both lines intersects at a point.