Answer:
Explanation:
Hi there!
Linear equations are typically organized in slope-intercept form:
where m is the slope and b is the y-intercept (the value of y when x=0)
Perpendicular lines always have slopes that are negative reciprocals, such as 2 and -1/2, 3/4 and -4/3.
1) Determine the slope (m)
Rewrite the given line:
Now, we can clearly identify the slope to be
. Because perpendicular lines always have slopes that are negative reciprocals, the slope of the line we're currently solving for is therefore 2. Plug this into
:
2) Determine the y-intercept (b)
Plug in the given point (9,-7) and solve for b:
Therefore, the y-intercept is -25. Plug this back into
:
I hope this helps!