Answer:
The slope of the line is 1.
Step-by-step explanation:
We are given two coordinate points:
We can use the rate of change formula to find the slope of the points.
In mathematics, coordinate pairs are labeled as:
Therefore, we can relabel our points:
After we do this, we can expand the rate of change formula:
Now, we can use simple substitution to solve for m, or the slope.
Therefore, the slope of the line is 1.
Answer:
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Step-by-step explanation:
Graph (-5,-3) and use the slope, -2, to find another point. -2 can also be written as
and
**
Use both. This works because either way, they will lie on the same line with the same slope. So, starting at (-5,-3), go down two points (-)* and to the left 1 (+)*, then, starting at (-5,-3) again, go up two points (+)* then to the right 1 point (-)*.
* If the number is negative, you either go down or to the right. If the number is positive, you go up and to the left.
**Rise over run refers to the change in the y-axis and the change in the x-axis: . Only one number is negative because, if both were negative, that would make a positive number, but the slope is -2, not 2.
Another way you could do this is by finding points first. All you need to do is turn the slope into a "point". Remember, 2 is the y and 1 is the x:
and
Then, using (-5,-3) and your new points, add them separately:
(-4,-5) is one point
(-6,-1) is another point. Connect the three points. You can check your work on the graph:
