Answer:
To identify the slopes and y-intercepts of the given lines, we need to rewrite them in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
a) 5x + 9y - 25 = 0
First, isolate y:
9y = -5x + 25
y = (-5/9)x + 25/9
Slope: -5/9
Y-intercept: 25/9
b) 4x + 5y + 5 = 0
Isolate y:
5y = -4x - 5
y = (-4/5)x - 1
Slope: -4/5
Y-intercept: -1
c) 5x + 2y - 4 = 0
Isolate y:
2y = -5x + 4
y = (-5/2)x + 2
Slope: -5/2
Y-intercept: 2
d) 3x - 5y - 5 = 0
Isolate y:
-5y = -3x + 5
y = (3/5)x - 1
Slope: 3/5
Y-intercept: -1