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svlad2 [7]
3 years ago
6

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

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
4 0

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

y = mx + b

Where:

m: Is the slope

b: Is the cut-off point with the y axis

According to the data of the statement we have to:

m = -2

Then, the equation is of the form:

y = -2x + b

We substitute the point(x, y): (- 5, -3)and find "b":

-3 = -2 (-5) + b\\-3 = 10 + b\\-3-10 = b\\b = -13

Finally, the equation is:

y = -2x-13

To graph we place the points (-5, -3)and(0, -13) on the coordinate axis and join the points by a line.

ANswer:

y = -2x-13

The graphic is attached.

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