Answer:
Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Slope-intercept form: where <em>m</em> is the slope and <em>b</em> is the y-intercept
- Perpendicular lines always have slopes that are negative reciprocals (examples: 1/2 and -2, 3/4 and -4/3)
<u>1) Determine the slope (</u><u><em>m</em></u><u>)</u>
Reorganize the given equation into slope-intercept form; subtract 2x from both sides to isolate <em>y</em>:
Now, we can easily identify the slope of the line to be -2. Because perpendicular lines always have slopes that are negative reciprocals, the slope of a perpendicular line would be . Plug this into :
<u>2) Determine the y-intercept (</u><u><em>b</em></u><u>)</u>
Plug in the given point (2,5) and solve for <em>b</em>:
Subtract 1 from both sides to isolate <em>b</em>:
Therefore, the y-intercept of the line is 4. Plug this back into :
I hope this helps!