Graph the line that passes through the point (-3,0) and has a slope -3.

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Graph the line that passes through the point (-3,0) and has a slope -3.

Answer:

The equation y = -3x – 9 represents the line passing through (-3, 0) with a slope of -3. It slopes downward and crosses the y-axis at -9.

The point-slope form is:

y – y1 = m(x – x1)

Where:

(x1, y1) is the given point (-3, 0).

m is the slope, given as -3.

Substituting the values into the equation:

y – 0 = -3(x – (-3))

Simplify the equation:

y = -3(x + 3)

Now, expand the equation:

y = -3x – 9

This equation represents the line passing through (-3, 0) with a slope of -3.

Now, let’s graph the line on a coordinate plane. The equation y = -3x – 9 is a linear equation, where the slope is -3 and the y-intercept is -9

The line passes through the point (-3, 0) and has a slope of -3, meaning for every one unit increase in x, y decreases by three units. This line slopes downward as it moves from left to right.

Graph the line that passes through the point (-3,0) and has a slope -3.

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