The intercept of 2 equations is a point that verifies both equations. By that I mean that if you replace the coordinates of this point in both equations, you would get the same y. So, to do this, you use this form of expression: y=y So you do the equality of both expressions, and find x. But in your case, we have one equation that is not in the y= form: y+3=1/2x. So you subtract 3 from each side, making it y=1/2x-3 Now, we can do y=y. 1/2x-3 = 5x-7x+8 1/2x-3=-2x+8 Then, we move the variables to a side, and the numbers to the other side of the expression, so you get: 1/2x + 2x = 8 + 3 5/2x = 11 To find x, you divide both sides by 5/2: x= 11/(5/2) x= 11*2/5 (when you divide 2 fractions, the result is equal to the first fraction multiplied by the inverse of the second) x=22/5
So, the intercept of y+3=1/2x and y=5x-7x+8 is 22/5.
You can check your answer (this is very important): y+3 = 1/2 * 22/5 y+3 = 22/10 y= -8/10
First we need to find the radius. Using Pythagorean theorem we can find the radius which is the distance between the center and any point along the circle:
r=((5-1)^2+(2-2)^2)^(1/2)
r=(4^2-0^2)^(1/2)
r=4 units.
Circumference=2pr so our circumference is 8p units^2
