Find the equation, in slope-intercept form, of the line passing through the point (2,5) and perpendicular to the line 2x + y = 7

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

Reorganize the given equation into slope-intercept form; subtract 2x from both sides to isolate y:

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 :

2) Determine the y-intercept (b)

Plug in the given point (2,5) and solve for b:

Subtract 1 from both sides to isolate b:

Therefore, the y-intercept of the line is 4. Plug this back into :

I hope this helps!

answer: all the values are within because it has a pattern that repeats from -6 to 4.

good luck!