## Parallel Line

If a straight line passes through point (1, 0) and is parallel to y=x, what is its equation?

##
__
__**Expand Hint**

**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**

**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:

$$$y=x-1$$$

$$$y=x-1$$$

Similar Problems from FE Section:

**Straight Line**

128. Straight Line Equation

131. Two Lines

395. Slope Intercept

396. Point-slope

517. Straight Line