Through: (1,-1), parallel to y = -3

The equation of a line parallel to the line and passing through (1, -1) is:

Step-by-step explanation:

Given the line

y = -3

We know that the slope-intercept form of the line equation is

where m is the slope and b is the y-intercept

Thus, the slope of the equation y=-3 will be m = -3

We know that the parallel lines have the same slopes.

Thus, the slope of the parallel line will also be -3.

Thus, using the point-slope form to find the line equation is

substituting the values m = -3 and the point (1, -1)

y-(-1) = -3(x-1)

y+1 = -3x+3

y=-3x+3-1

y=-3x+2

Thus, the equation of a line parallel to line and passing through (1, -1) is:

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step-by-step explanation:

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step-by-step explanation: