Question

I need to know 2, 3, and 4.

Answer 1

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 =
`(10)/(16)`

m =
`(5)/(8)`

y-intercept = 20

Therefore, equation of the line 'a' is,

y =
`(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' =
`(20)/(16)`

m' =
`(5)/(4)`

y-intercept = 0

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

y =
`(5)/(4)x`

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

2). The constant of proportionality of y to x for line 'a' is
`(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,(5)/(4))` so the constant of proportionality is
`(5)/(4)` → TRUE