Graph a line that contains the point (-5,-3) and has a slope of -2

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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:

The equation of the line is y = -2x - 7 and the graph is attached

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

The equation of the line that contains the point (-5,-3) and has a slope of -2 is:

The equation of the line is y = -2x - 13 and the graph is attached

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horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction

a line is an defined derm because it

a)contains an infinite number of points b) can be used to create other geometric shapes c)describes something that does not have width or depth d) is a term that does not have a formal definition. a line is an undefined term because it: contains an infinite number of points.