Answer:
B. y = 1/3x
Step-by-step explanation:
The slope of the given line is -3, so the slope of the perpendicular line will be the negative reciprocal of that: -1/(-3) = 1/3. This eliminates choices A and C.
We can find the y-intercept (b) if we use the given point values in the equation ...
y = 1/3x +b
we get ...
-2 = (1/3)(-6) +b
-2 = -2 +b . . . simplify
0 = b . . . . . . . add 2
So, the equation of the perpendicular line through the given point is ...
y = 1/3x . . . . matches choice B
_____
<em>Alternate solution method</em>
You can try the given point in the given equations. You will find that only the equation of choice B will work.
Find the slope first:
m=y2-y-1/x2-x1
m=2-10/-3-1
m= -8/-4
m= 2
Select a point & put into y=mx+b to find b.
y=mx +b
10 =2(1) + b
10 =2 +b
8 = b
Rewrite the equation with your slope &intercept:
y=2x + 8
That's ^ the equation that describes your line!
Y=mx+b
m=slope
b=yint
find slope
slope between (x1,y1) and (x2,y2) is (y1-y2)/(x1-x2)
given
(-3,5) and (1,1)
slope=(5-1)/(-3-1)=4/-4=-1
y=-1x+b
find b
when x=1, then y=1
1=-1(1)+b
1=-1+b
add 1
2=b
y=-x+2
Answer:
x=1
y=-4
Step-by-step explanation:
Since -x-3=y subsitue that in at the top equation
Plug x=1 back into the equation to solve for y.
Answer:
3+x<5x+2
Step-by-step explanation:
the sum of the number 3+xis less than so 3+x<5×x+2
<em>so</em><em> </em><em>final</em><em> </em><em>ans</em><em> </em><em>is</em><em> </em><em><u>3</u></em><em><u>+</u></em><em><u>x</u></em><em><u><</u></em><em><u>5</u></em><em><u>x</u></em><em><u>+</u></em><em><u>2</u></em>
