Answer:
Step-by-step explanation:
<u>In right triangle sum of two angles is 90°</u>
- 4x + x = 90°
- 5x = 90°
- x = 90°/5
- x = 18°
<u>Angle y is exterior angle and equals non-adjacent interior angles</u>
- y = 4x + 95° =
- 4*18° + 95° =
- 72° + 95° =
- 167°
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.
Answer:
Step-by-step explanation:
we know that
therefore
In Y=mx+b:
m=slope. That is found by using this formula y2-y1/x2-x1
b=y-intercept. That's found by finding slope, m, and substituting that into y=(m)x+b. Then you have to solve for b and that'll be your y-intercept.
