Question

Which one of these relationships is different than the other three? Write the equation for each line,or find the slope (one of them is different from the other3)

Answer 1

Graph B is different from the others.

Equation for Graph A, C, and D is
`y = 5x`.

Equation of Graph B is
`y = 5.5x`

Explanation:

The equation of each line can be written as
`y = mx`, where m is the slope.

Using each point given in each graph, we can find m and also an equation for each graph:

✍️Graph A Equation and slope:

Using the point given, (0.8, 4), the slope, m, can be calculated as,

`m = (y)/(x) = (4)/(0.8) = 5`

Substitute m = 5 into
`y = mx`.

✅Equation for graph A would be
`y = 5x`.

✍️Graph B Equation and slope:

Using the point given, (10, 55), the slope, m, can be calculated as,

`m = (y)/(x) = (55)/(10) = 5.5`

Substitute m = 5.5 into
`y = mx`.

❌Equation for graph B would be
`y = 5.5x`.

✍️Graph C Equation and slope:

Using the point given, (4, 20), the slope, m, can be calculated as,

`m = (y)/(x) = (20)/(4) = 5`

Substitute m = 5 into
`y = mx`.

✅Equation for graph C would be
`y = 5x`.

✍️Graph D Equation and slope:

Using the point given, (10, 50), the slope, m, can be calculated as,

`m = (y)/(x) = (4)/(0.8) = 5`

Substitute m = 5 into
`y = mx`.

✅Equation for graph D would be
`y = 5x`.

Equation for Graph A, C, and D is
`y = 5x`.

Equation of Graph B is
`y = 5.5x`