Answer: 12
Step-by-step explanation:
Answer:
k = -10/7 and k = -3
Step-by-step explanation:
Given: <em>y</em> = <em>kx</em> + 2
where k is the slope of line and 2 is y-intercept.
∵ line <em>y</em> = <em>kx </em>+ 2 is passing through point <em>P</em> (-7, 12), ∴ <em>x</em> = -7 and <em>y </em>= 12
Now substituting the value of x and y in above equation,
<em>y </em>= <em>kx</em> + 2
12 =<em> k</em>(-7) + 2
-7<em>k</em> = 12 - 2
- 7<em>k</em> = 10

In the same way, ∵ line <em>y</em> = <em>kx </em>+ 2 is passing through point <em>P</em> (3, -7), ∴ <em>x</em> = 3 and <em>y </em>= -7
<em>y </em>= <em>kx</em> + 2
Now substituting the value of x and y in above equation,
-7 =<em> k</em>(3) + 2
<em>3k</em> = -7 - 2
<em>3k</em> = - 9
<em>k</em> = -3
This is a Pythagorean Theorem problem. 3^2 + 7^2 = 58. C^2 = 58. C = 7.6157 (exact)
There is no exact answer for this. The closest we can get to 58 is 7.6157, which would leave us at 57.9988. So the approximate value is 7.6, but if you need the closest answer, it’s 7.6157.