Tell whether the graphs of the two equations are parallel lines.

(24) \( y = 8x - 3 \), \( 8x + y = 3 \)

(25) \( 2x + y = 5 \), \( -6 + 2x = y \)

(26) \( 2x + y = 5 \), \( y = 0.5x - 3 \)

(27) \( y = -0.6 + 2 \), \( 5y + 3x = 8 \)

(28) \( 8x + 3y = 9 \), \( 3y - 4 = 8x \)

(29) \( 10x + 2y = 7 \), \( 5x - y = 6 \)

parallel lines have the same gradient the equation is y=mx+c...where m is the gradient 24) y=8x-3 y=-8x+3... not parallel 25) y=-2x+5 y=2x-6.... not parallel 26) y=-2x+5 y=0.5x-3... not parallel 27) y=-0.6x+2 y=-3/5x + 8/5 =-0.6x + 1.6...parallel 28) y=-8/3x+3 y=8/3x+4/3...not parallel 29) y=-5x+7/2 y=5x-6 ... not parallel

Answered by faizahbegum | 2024-06-10

24)no 25)yes 26)no 27)yes 28)no 29)no

Answered by bigman7658 | 2024-06-10

To check for parallel lines, we find the slopes of the given equations. Lines are parallel if they have the same slope. Out of the pairs, only the equations from question (27) produce parallel lines with the same slope of -0.6.
;

Answered by faizahbegum | 2024-11-07