Parallel Line
If a straight line passes through point (1, 0) and is parallel to y=x, what is its equation?
Expand Hint
The standard form of an equation, which is also known as slope-intercept form:
$$$y=mx+b$$$
where
$$m$$
is the slope and
$$b$$
is the line’s intersection along the y-axis.
Hint 2
Slopes of perpendicular lines are the negative reciprocals of each other. Parallel lines have identical slopes.
The standard form of an equation, which is also known as slope-intercept form:
$$$y=mx+b$$$
where
$$m$$
is the slope and
$$b$$
is the line’s intersection along the y-axis.
In the given parallel line,
$$y=x$$
, the slope is 1. Slopes of parallel lines have identical slopes, meaning the unknown straight line has a slope of 1. The starting equation:
$$$y=(1)x+b$$$
Because the unknown equation passes through the point (1, 0), let’s substitute those coordinates:
$$$0=(1)(1)+b$$$
Solving for
$$b$$
:
$$$b=-(1)(1)=-1$$$
Because the point where the straight line passes through the y-axis is now known, the final equation is:
$$$y=x-1$$$
$$$y=x-1$$$
Time Analysis
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