The solutions are given below:
1. 3y- 9 = 2x
2. 2/3.
3. y/x
4. y = (2/3)x + 3
<h3>What is equation of line?</h3>
The equation of a line with one given point (x1, y1) is (y - y1) = m(x - x1). Here m is the slope of the line.
The complete question is:
On a coordinate plane, a line goes through (0, 3) and (x, y). A triangle has a rise of 2 and run of 3. A larger triangle has a rise of 5 and run of 7.
Use similar triangles to determine the equation of the line with a slope of 2/3 that passes through the point (0, 3).
What is the ratio of the rise to the run in the smaller triangle in the diagram?
What is the ratio of the rise to the run in the larger triangle in the diagram?
What is the equation of the line in slope-intercept form?
1. slope= 2/3
coordinates= (0, 3)
y-y1 = m(x-x1)
y-3 = 2/3(x-0)
y-3 = 2/3x
3y- 9 = 2x
2. The ratio of the rise to the run in the smaller triangle in the diagram
is y/x = 2/3
3. The ratio of the rise to the run in the larger triangle = y/x
4. The equation of the line in slope-intercept form is given by:
y = (2/3)x + 3
Learn more about this concept here:
brainly.com/question/15799501
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6:30
I have that worksheet. I don't know if its the same. I think you forgot to add some parts of the question!
Hope I helped!
We start with
and wish to write it as
First, pull 2 out from the first two terms:
Let’s look at what is in parenthesis. In the final form this needs to be a perfect square. Right now we have
and we can obtain -10x by adding -5x and -5x. That is, we can build the following perfect square:
The “problem” with what we just did is that we added to what was given. Let’s put the expression together. We have
and when we multiply that out it does not give us what we started with. It gives us
So you see our expression is not right. It should have a -53 but instead has a -3. So to correct it we need to subtract another 50.
We do this as follows:
which gives us the final expression we seek:
If you multiply this out you will get the exact expression we were given. This means that:
a = 2
d = -5
e = -103
We are asked for the sum of a, d and e which is 2 + (-5) + (-103) = -106
Answer:
Point c
Step-by-step explanation:
A is at (6,4), both +
B is at (-4,2) only 1 -
C is at (-7,-2) both -
D is at (5,-4) only 1 -
Hope that helps
Answer:
X>=1 is the answer
Step-by-step explanation:
then
The graphic is A) or whom is be more or equal to one in the graphic. Right side of the graphic.
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