Question

Graph a direct variation function that goes through the point (-2, -6). what is the slope

Answer 1

y = 2/3x - 3

Slope: 2/3x

Explanation:

Slope: 2/3x

y- intercept: (0,-3)

once it goes down it'll be -2/-3x which will go to through (-2,-6) as soon as it goes down from the y-intercept.

equation: y = 2/3x - 3

Answer 2

The slope is 3.

Explanation:

A direct variation function will always go through the origin point (0, 0).

Therefore, we have the two points (0, 0) and (-2, -6).

We can use the slope formula to find the slope:

`\displaystyle m=(y_2-y_1)/(x_2-x_1)`

Substitute and evaluate:

`\displaystyle m=(0-(-6))/(0-(-2))=(6)/(2)=3`

Therefore, the slope of the function is 3.

To graph, simply plot (0, 0) and (-2, -6) and draw a line connecting them. This is shown below.