To find the equation for the line in slope-intercept form y= mx + b, perpendicular to the line shown and passing through (6, -6):
The slope of the blue line is the rise (change in y) divided by run (change in x)
Choosing two points on the line (0, -6) and (2,0)
Slope = (0 - (-6)) / (2 - 0) = 6 / 2 = 3
The slope of our perpendicular line will be the opposite inverse, so:
m = -1/3
We have the point (6, -6) so we can solve for b
y = mx + b
-6 = (-1/3)*6 + b
-6 = -2 + b
b = -4
We know that m= (-1/3) and b= -4, so:
y = (-1/3)x - 4
This is definitely the correct answer. None of the above answers describe the line that is perpendicular to the blue line and passes through (6, -6). Make sure you wrote the options down correctly.
It is the last one. A closed circle means less than or equal to, so that crosses out the top two. The third says five is greater and we know that is not true because the line is decreasing in value. It must be the fourth.
S = N + 4
N = H - 8
S = 15
S = N + 4
Plug in 15 for 'S':
15 = N + 4
11 = N
N = H - 8
11 = H - 8
Add 8 to both sides:
19 = H
So Hector receives $19 for allowance.
<h3>1. SAS</h3><h3>2. SSS</h3><h3>3. AAS</h3><h3>4. AAS</h3><h3>5. AAS</h3><h3>6. HL</h3><h3>7. SAS</h3><h3>8. SAS</h3><h3>9. SSS</h3>
A line perpendicular to the y axis is horizontal line (parallel to the x axis).
Equation of this line is y = a.
The line passes through (3, -8) → x = 3 and y = -8.
Therefore your answer is y = -8.