Enter the equation of the line in slope-intercept form. The line parallel to y = −x that passes through (7, 2.5).

The equation of the line that passes through (7, 2.5) is y = .

Given:

The line parallel to y = −x that passes through (7, 2.5).

To find:

The slope intercept form of the given line.

Solution:

Slope intercept form of the line is

where, m is slope and b is y-intercept.

On comparing y = −x with slope intercept form, we get

So, slope of y=-x is -1.

Slope of parallel lines are same. Thus, slope of required line is -1.

Required line passes through (7,2.5) with slope -1. So, the equation of line is

Add 2.5 on both sides.

Therefore, the equation of the line that passes through (7, 2.5) is .

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step-by-step explanation:

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