It 72 apex you welcome hope you do good on the quiz:D
Answer:
x+3y=14
Step-by-step explanation:
Standard form for an equation of a line is ax+by=c . Some books have restrictions on a,b, and c.
So first thing I'm going to do is state the equation I'm going to use to get there.
I'm going to use the point-slope form because we are given a point (2 really) and we can find the slope using two points (we have).
Line up points and subtract. You will then put second difference over the first difference. This will give you the slope. You could just use (y2-y1)/(x2-x1).
( -1 , 5)
-( 2, 4)
-----------
-3 1
So the slope is 1/-3 or -1/3 .
So the equation in point-slope form, y-y1=m(x-x1), is y-4=-1/3 (x-2) .
y-4=-1/3 (x-2)
First step: I'm going to get rid of the fraction by multiplying both sides by 3.
3y-12=-1(x-2)
Second step: Distribute
3y-12=-x+2
Third step: add x on both sidfes
x+3y-12=2
Fourth step: add 12 on both sides
x+3y=14.
90°
Cuz,
Perpendicular dropped on the point when a tangent touches a circle from its centre make an angle of 90°
Solve x+4y = 13 for x by subtracting 4y from both sides.
We end up with x = -4y+13.
Since x and -4y+13 are the same, we can replace every x in the first equation with -4y+13
2x-3y = -29
2( x ) - 3y = -29
2( -4y+13 ) - 3y = -29 ... x is replaced with -4y+13
The answer is choice B
