Question

The lines representing the pair of equations 5x – 4y + 8 =0 and 7x + 6y -9 = 0
Are parallel
Are coincident
Intersect at a point
None of these

Answer 1

Answer:

intersect at a point

Step-by-step explanation:

because

a1/a2 is not equal to b1/b2

Answer 2

Answer:

Intersect at a point

Step-by-step explanation:

1). ║have the same slope but different y-intercept

2). Coincident lines are with same slope and same y-intercept.

3). Lines with intersect at a point have different slopes.

Let's write given equations in slope-intercept form:

y = mx + b

- 4y = - 5x - 8

y = $\frac{5}{4}$ x + 2 ..... (1)

$m_{1}$ = $\frac{5}{4}$ ; y-intercept is 2

6y = - 7x + 9

y = - $\frac{7}{6}$ x + $\frac{3}{2}$

$m_{2}$ = - (7/6) ; y-intercept is (3/2)

Lines intersect at a point