Answer:
Perpendicular Slope:
Parallel Slope:
Step-by-step explanation:
Part 1: Rewrite into slope-intercept form
Firstly, the equations are written in <em>standard</em> form and not <em>slope-intercept form</em>, so to change that, follow the steps below.
Note: Remember the slope-intercept form equation -
Add to both sides of the equation to isolate the <em>y-variable</em>. Then, divide by the coefficient of <em>y</em> to isolate it entirely. The equation is now in slope-intercept form.
Part 2: Determine the perpendicular slope
Perpendicular slopes are reciprocals of the given slopes. To turn the original slope into its reciprocal counterpart, follow these steps:
- If the current slope is positive, add a negative sign. If the current slope is negative, remove the negative sign.
- The denominator becomes the numerator and the numerator becomes the denominator.
To follow this for the slope of the given equation:
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Part 3: Determine the parallel slope
Parallel slopes are equal - otherwise, the lines would eventually intersect. Therefore, the given slope is <u>also</u> the parallel slope.
The parallel slope is .