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Answer:

y = -2x - 3

Step-by-step explanation:

Please look carefully at this graph.  There are two red dots on the graph.  The x- and y-coordinates of one are (-5,7) and those of the other are (0,-3).

Now as we move to the right, from (-5,7) to (0,-3), x increases by 5 and y decreases by 10 (note that 7-10 is -3).  Thus, the slope of this line is

m = rise / run = -10/5, or m = -2.

Then the equation of this line, in point-slope form, is

y-7 = -2(x-[-5])x, or y-7 = -2(x+5).  This is in point-slope form.

If you'd like to have it in slope-intercept form, manipulate y-7 = -2(x+5) as follows:  (a) add 7 to both sides, obtaining y = -2(x+5) + 7, and (b) perform the indicated multiplication:  y = -2x - 10 + 7, or y = -2x - 3.

Answer:

y=2x-3

Step-by-step explanation:

1) Evaluate

Make an equation based on the graph. This equation would consist of the y-intercept and slope.

2) Solve

  • To find the y-intercept find the point on the graph that touches the y axis. That would be -3. It would be stated in the equation as -3.  
  • Now find the slope. To find the slope you must figure out the [tex]\frac{rise}{run}[/tex]. The rise is the amount the number goes up or down to a solid point. The rise for this graph is 2. The run is the amount the number goes left or right to a solid point. The run in this graph is 1. To state the slope simply write it as 2x.

3) Conclusion

Now that you have figured out the slope is 2 and the y-intercept is -3 write it in an equation.

The equation would look like:

y=2x-3


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