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Indicate the equation of the line through (2, -4) and having slope of 3/5.

The equation of the line is .

Step-by-step explanation:

Given the values of the slope and a point of the line, we can derive the equation of the line by means of this formula:

(1)

Where:

- Independent variable.

- Dependent variable.

- Slope.

- Coordinates of the given point.

If we know that and , then the equation of the line is:

The equation of the line is .

parallel and congruent

step-by-step explanation:

the movement of translation is linear.   these have the same translation because you are using the same rule for each point of the triangle so you will see the same slope being used to get from a point on the triangle to its image.

same slope!   you should think parallel when you see those 2 word together (well unless it's the same line but it can't be because we are coming from different points here)

congruent! because each point is being moved the same distance.