Question

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

Answer 1

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

• 
  `y=-3x+2`

Explanation:

Given the line

y = -3

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

`y=mx+b`

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

`y-y_1=m\left(x-x_1\right)`

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:

• 
  `y=-3x+2`