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.
Answer:
11.16 units²
Step-by-step explanation:
Area of community area=4.5×6.2= 27.9 units²
Area of vegetable garden=27.9×0.4=11.16 units²
(2x + 6) ÷ 2 - 3
= 2(x+3) ÷ 2 - 3
= x + 3 - 3
= x
After Jon’s painted 4/5 of the house, he has 1/5 left. 1/3 of 1/5 is 1/15, so 2/3 of 1/5 is 2/15. He has 1/5 = 3/15 left to paint, and he paints another 2/15, so the leaves him with 3/15 - 2/15 = 1/15 of the house left to paint.
Answer:
5y+3x=-9
Step-by-step explanation:
Let us start by the general form of the standard equation, Ax+By=C. One way we can solve this problem is by finding the <u>slope-intercept form</u> of this equation, y=mx+b, and converting it into the standard equation. In the slope-intercept form, m represents the slope, b represents the y intercept.
From this problem, we are given both the slope and the y intercept. We know have the equation:
Great! Now let us rearrange the terms so that the y and x terms are on one side of the equation.
This seems right, but a standard equation must have coefficient values that are real numbers. So, A and B must be real numbers. We can do this by multiplying the entire equation by 5 and ridding the denominator of the A term.
<em>I hope this helps! Please let me know if you have any questions :)</em>
