Question

F. The relationship between x and y is not a straight line.
Does anyone know the answer??

Answer 1

`y=(1)/(3)x-1`

As the line equation represents a straight line, so the relationship between x and y is a straight line.

Therefore, option E is true.

Explanation:

Taking two points from the given line

• (3, 0)

• (-3, -2)

Finding the slope between two points

`\mathrm{Slope}=(y_2-y_1)/(x_2-x_1)`

`\left(x_1,\:y_1\right)=\left(3,\:0\right),\:\left(x_2,\:y_2\right)=\left(-3,\:-2\right)`

`m=(-2-0)/(-3-3)`

`m=(1)/(3)`

From the graph, the y-intercept can be calculated by setting the x=0 and then check the corresponding value of y.

at x = 0, y=-1

Thus, the y-intercept = -1

We know that the slope-intercept form is

`y=mx+b`

where m is the slope, and b is the y-intercept

substituting the values of m=1/3 and the y-intercept b = -1

`y=mx+b`

`y=(1)/(3)x+\left(-1\right)`

`y=(1)/(3)x-1`

As the line equation represents a straight line, so the relationship between x and y is a straight line.

Therefore, option E is true.