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Alex777 [14]
2 years ago
8

Srry I just don’t understand 12 points

Mathematics
2 answers:
marshall27 [118]2 years ago
6 0

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.

AVprozaik [17]2 years ago
5 0

Answer:

<em>y</em>=2<em>x-</em>3

Step-by-step explanation:

1) Evaluate

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

2) Solve

  • To find the <em>y-intercept </em>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 \frac{rise}{run}. 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 2<em>x.</em>

3) Conclusion

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

The equation would look like:

<em>y</em>=2<em>x</em>-3


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\bf \begin{cases} y=3x+2\\ -3x+y=2\\ 3x-y=-2\\ ------\\ 6x-2y=10 \end{cases}\implies  \begin{cases} 3x-y=-2\\ 6x-2y=10 \end{cases}\implies  \begin{bmatrix} 3&-1&|&-2\\ 6&-2&|&10 \end{bmatrix}\\\\ -------------------------------

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