Question

I need to know 2, 3, and 4.

Answer 1

Answer:

Step-by-step explanation:

Let the equation of the line 'a' is,

y = mx + c

Here, m = slope of the line

c = y-intercept

For line 'a',

Slope of the line = $\frac{\text{Rise}}{\text{Run}}$

m = $\frac{10}{16}$

m = $\frac{5}{8}$

y-intercept = 20

Therefore, equation of the line 'a' is,

y = $\frac{5}{8}x+20$

Similarly, equation of the line 'b' is,

y = m'x + c'

Slope of the line = $\frac{\text{Rise}}{\text{Run}}$

m' = $\frac{20}{16}$

m' = $\frac{5}{4}$

y-intercept = 0

Therefore, equation of the line is 'b' is,

y = $\frac{5}{4}x$

1). Line 'b' represents a proportional relationship → FALSE

2). The constant of proportionality of y to x for line 'a' is $\frac{1}{2}$ → FALSE

3). The ratio of y-coordinate to x-coordinate of one of the points on line b is 25 : 8 → FALSE

4). let a passes through the point $(1,\frac{5}{4})$ so the constant of proportionality is $\frac{5}{4}$ → TRUE