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Fill in the blanks to complete the steps for finding the equation of a parallel line.

Start with the
I Answer
form: y-y1=m(x-x1).
Identify the
Answer
in the given equation.
Substitute this for
Answer iny-y1=m(X-X1).

Substitute the given point's coordinates for
1 Answer iny-y1=m(x-x1).

Isolate y by distributing and simplifying to rewrite the equation in
1 Answer
ver; form: y= mx + b.
::X1 and y1
:: slope
:: point-slope
:: slope-intercept

1 answer

Here’s how to fill in the blanks to complete the steps for finding the equation of a parallel line:

Start with the point-slope form: \( y - y_1 = m(x - x_1) \).
Identify the slope in the given equation.
Substitute this for m in \( y - y_1 = m(x - x_1) \).

Substitute the given point's coordinates for x_1 and y_1 in \( y - y_1 = m(x - x_1) \).

Isolate \( y \) by distributing and simplifying to rewrite the equation in slope-intercept form: \( y = mx + b \).

So, the complete filled-in steps are as follows:

  1. Start with the point-slope form: \( y - y_1 = m(x - x_1) \).
  2. Identify the slope in the given equation.
  3. Substitute this for m in \( y - y_1 = m(x - x_1) \).
  4. Substitute the given point's coordinates for x_1 and y_1 in \( y - y_1 = m(x - x_1) \).
  5. Isolate \( y \) by distributing and simplifying to rewrite the equation in slope-intercept form: \( y = mx + b \).