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Find the slope-intercept form of the equation of the line that passes through (-1.1) and is parallel to y=-x+4

If a line is of the form y = mx + b, a parallel line is of the from y = mx + c.

The variable m is the same in both lines.

This means the line is of the form y = -x + c for some unknown c.

Putting in the values gives 1 = -(-1) + c, so 1 = 1 + c, so c = 0.

The equation of the line being looked for is y = -x.

To check this out, if -1 is put in for x, the result is a 1 for y

since -(-1) = 1.

Thus, the answer has been found and checked.

Algebra

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