Answer:
y=-1/3x-2
Step-by-step explanation:
First off, lets outline that parallel lines have the <u>Same Slope</u>. So we can plug in -1/3 as our slope, or m.
Lets plug in -1/3 as our slope in Point Slope form to find the y intercept. Point slope form should be attached in an image below.
1) Plug slope and points into point slope form:
y+1=-1/3(x+3)
2) Distribute -1/3 to x and 3:
y+1=-1/3x-1
3) Subtract 1 from both sides:
y=-1/3x-2
Now we have our answer is slope intercept form!
Please let me know if you have any questions :)
<h3>
Answer: 36 square units</h3>
=========================================================
Explanation:
Draw a horizontal line to cut the figure into a rectangle on top and a triangle down below.
The rectangle has length and width of 6 and 4 (horizontal and vertical components respectively). The area of this rectangle is 6*4 = 24 square units.
The triangle has a base of 6 and a height of 4. The base and height of any triangle are always perpendicular.
The area of the triangle is base*height/2 = 6*4/2 = 24/2 = 12 square units. If you were to cut out half of the triangle and rearrange things, you'll find that a rectangle can be formed. This rectangle is half in area that of the first rectangle we found. This is why we divide by 2 when finding the area of the triangle.
Once you know the two sub-areas, we add them up to get the overall area: 24+12 = 36 square units.
(2n+4)x(4n+7)
= 8n^2+14x+16n+28
=8n^2+30n+28
that's it :) !!
Answer:
19
Step-by-step explanation:
51-(16)x2
16x2=32
51-32=19
Any line can be expressed in the form y=mx+b where m is the slope and b is y intercept.
Two lines can either be parallel ,overlap or meet at one point .Let us look at different cases :
1)When two lines are parallel they do not intersect at any point and hence the system of equations have no solution.
2) When two lines overlap each other then the two lines touch each other at infinite number of points and we say the system of equations have infinite solutions.
3) When two lines intersect each other at one point we say the system of equation has one solution.
Part A:
The given lines are intersecting at one point so we have one solution.
Part B:
The point of intersection is the solution to the system of equations .In the graph the point of intersection of the lines is (4,4)
Solution is (4,4)
