Which equation represents a line with a slope of 3 and y-intercept of -4?
a y = 3x -4
b y =4x −3
c y=−3x +4
d y=−4x + 3

Slope-intercept form:  y = mx + b

(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)

You know:

m = 3

b = -4         So substitute/plug it into the equation

y = mx + b

y = 3x + (-4)

y = 3x - 4    Your answer is a

1. The "triangle inequality" states that any of the sides of the triangle, is larger than the difference of the other 2 sides (the larger minus the smaller), and it is smaller than the sum of them.

2. So the third side of this triangle must be larger than 14-8=6 (in) and smaller than 14+8=22 (in)

3. So let a denote the remaining side, then   6 < a < 22, which means a can be any number in between 6 and 22 inches.