Question

Please solve this for me!

Answer 1

Answer:

  y = -1/6x +2

Step-by-step explanation:

The black vertical line in the middle of the graph is the y-axis. The blue line crosses it a the point marked 2. This is known as the y-intercept.

The slope of the line is the ratio of "rise" (vertical change) to "run" (horizontal change).

There is a marked point on the line at the y-intercept, where x=0 and y=2. There is another marked point to the right of that, where x=6 and y=1.

The vertical change between those two points is 1 -2 = -1.

The horizontal change between those two points is 6 -0 = 6

The slope is then -1/6.

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The slope-intercept form of the equation of a line is often written as ...

   y = mx + b

where "m" is the slope (-1/6), and "b" is the y-intercept.

Using the values we found above, the equation of the line is ...

  y = -1/6x +2