Answer:
y=2x-7
Step-by-step explanation:
The easiest way to answer this would be by using the slope-intercept form equation, y=mx+b. In this case, we can use our given in information to plug in values and find the equation.
Firstly, let's assess what know and what we don't:
Given the point (2,-3), we know that x=2 and y=-3. Now the slope for a perpendicular line can be found using a negative reciprocal, since the product of the slopes of both lines should equal -1. Therefore the slope must be 2.
All that's left is b, the y-intercept. To solve for this, we simply plug in what we have.
y=mx+b
-3=2(2)+b
-3=4+b
-3-4=b
-7=b
Now that we have b, we can write the equation:
y=2x-7
