Write an equation for the line that has a rate of change of 2 and passes through the point (-1, -5).

The equation of the line that passes through (-1, -5) and has a slope of 2 is;

or

Recall:

Given:

Slope (m) of the line is 2

Point on the line is (-1, -5)

Write the equation in point-slope form by substituting m = 2, and (a, b) = (-1, -5) into y - b = m(x - a).

Thus:

Rewrite in slope-intercept form

Therefore, the equation of the line that passes through (-1, -5) and has a slope of 2 is;

or

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An equation for the line that has a rate of change of 2 and passes through the point (-1, -5) will be:

Step-by-step explanation:

As the equation for the line in the point-slop form is given by

where m is the slope (rate of change).

Now given the values

substituting the values m = 2 and the point (-1, -5)

Therefore, an equation for the line that has a rate of change of 2 and passes through the point (-1, -5) will be:

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