## Slope Intercept

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

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 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: $$y=3x-16$$$
$$y=3x-16$$\$