## Slope Intercept

If a straight line passes through point (6, 2) and is parallel to y=3x-1, what is its equation?

##
__
__**Hint**

**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 perpendicular line,
$$y=3x-1$$
, the slope is 3. Slopes of parallel lines have identical slopes, meaning our unknown straight line has a slope of 3. We can start off our equation:

$$$y=3x+b$$$

Because we know our unknown equation passes through the point (6, 2), we can substitute those coordinates:

$$$2=3(6)+b$$$

Solving for
$$b$$
:

$$$b=2-18=-16$$$

Now that we determined where the straight line passes through the y-axis, we've found our equation:

$$$y=3x-16$$$

$$$y=3x-16$$$