What is the slope of a line parallel to the line whose equation is 2x + y = 3. Fully
reduce your answer.

Answer:

m= -2

Step-by-step explanation:

Isolate the y into slope- intercept form 2x + y = 3 -> y = -2x+3

Parallel lines have the same slope, so the slope is -2.

The slope of a line parallel to the line whose equation is 2x + y = 3 is -2.

Given that, the equation of a line is 2x + y = 3.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope of a line parallel to given line is m1=m2.

The given equation can be rewritten as y=3-2x

The standard form of an equation of a line is y=mx+c

Now, compare y=3-2x with y=mx+c, we get

Slope (m) = -2

So, slope of parallel to the line is m1=m2= -2

Therefore, the slope of a line parallel to the line whose equation is 2x + y = 3 is -2.

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