Answer :

Answer:

put a dot on point (2,-4) then go one to the right and one down hope this helps

Step-by-step explanation:

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The equation of the line having a slope of -1, and passing through the point (2, -4) is x + y = - 2.

What is the equation of a line?

The equation of a line is the relation between the x-coordinates and y-coordinates of the points on the line, such that all (x, y) points, satisfies this equation.

The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept of the line.

How to solve the question?

In the question, we are asked to graph the line with slope -1, and passing through the point (2, -4).

We know that, the slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept of the line.

Substituting m = -1, x = 2, and y = -4, in the equation, we get:

-4 = -1(2) + b,

or, b = -4 + 2 = -2.

Thus, the equation of the line is: y = -1(x) - 2,

or, x + y = -2.

Thus, the equation of the line having a slope of -1, and passing through the point (2, -4) is x + y = - 2.

The graph for the equation is attached.

Learn more about equations of line at

https://brainly.com/question/18035751

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