Question

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

Answer 1

Answer:

$y=\frac{1}{3}x-1$

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

Therefore, option E is true.

Step-by-step explanation:

Taking two points from the given line

• (3, 0)

• (-3, -2)

Finding the slope between two points

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

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

$m=\frac{-2-0}{-3-3}$

$m=\frac{1}{3}$

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

$y=mx+b$

$y=\frac{1}{3}x+\left(-1\right)$

$y=\frac{1}{3}x-1$

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

Therefore, option E is true.