- 1). Look at the equation of the line. Let's say "3x + y = 8" is the equation of the given line.
Put the equation of the given line in slope-intercept form: y = mx + b. Using "3x + y = 8" as the equation of the given line, put the equation in slope-intercept form by solving for "y" (subtracting -3x from both sides).
You will get "y = -3x + 8." - 2). Identify the slope. The slope is the "m" in "y = mx + b." Therefore, the slope in "y = -3x + 8 (slope-intercept form of the given line)," is -3.
Identify the y-intercept. The y-intercept is the b in "y = mx + b." Therefore, the y-intercept in "y = -3x + 8 (slope-intercept form of the given line)," is 8. - 3). Change the y-intercept to any constant number. This will yield a parallel line since you will not change the slope or anything else in the equation. The slopes of parallel lines are equal.
Using the given equation of a line "y = -3x + 8 (slope-intercept form)," change the y-intercept of 8 to a 9. You will get "y = -3x + 9 (slope-intercept form)."
The parallel line is "y = -3x + 9 (slope-intercept form)." This means that "y = -3x + 9 (slope-intercept form)" is parallel to "y = -3x + 8 (slope-intercept form)."
SHARE
