<h3>
Answer:</h3>
m= 15
b= 45
y= 15x +45
<h3>
Concept:</h3>
<u>Overall equation</u>
The equation of a line in slope-intercept form is given by y= mx +b, where m is the slope and b is the y-intercept.
<u>Slope, m</u>
The slope is the measure of how steep the line is. It also defines how the y-axis changes with respect to the x-axis. The formula for finding slope is as shown below.
where 
is the first coordinate and 
is the second coordinate
<u>y-intercept, b</u>
This is the y-value in which the line cuts through the y-axis (vertical axis).
<h3>Working:</h3>
<u>Slope, m</u>
Let's identify two pairs of coordinates on the line.
2 square units on the y-axis represent $30. Thus, 1 unit on the y-axis represents $15.
The 2 points are: (0, 45) and (5, 120)
Substitute the 2 points into the slope formula:
Slope
= 
<em>= </em>
= 15
Thus, m= 15.
<u>y-intercept, b</u>
From the graph, the line cuts through the y-axis at y= 45.
Thus, b= 45.
<u>Overall equation</u>
Substitute m= 15 & b= 45 into y= mx +b:
∴ The equation of the line is y= 15x +45.
<h3>Additional:</h3>
To learn more about slope-intercept form, do check out: brainly.com/question/26351470
Answer:
Step-by-step explanation:
the number is 1300 if we have 40% from it will give us 520
Answer:
It would be triangles A & C
Step-by-step explanation:
This is because all of the angles within triangle add up to 180, with this, you can do the following to find the missing sides:
Tri A:
180-110-30 = 40
Tri B:
180-45-30 = 105
Tri C:
180-110-40 = 30
When you do this, look at the angles of the triangles. You see that Triangle A with the angles 110, 30, and 40 all match with those seen in Triangle C.
Therefore, the two triangles are congruent.
Answer:
the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.
Step-by-step explanation:
Answer:
f(x + 1) = -(3/4)*f(x)
(second option)
Step-by-step explanation:
Here we have the sequence:
64, -48, 36, -27, ...
First, we can notice two things:
Each term has a different sign than the previous term, so the relation is something like:
f(x + 1) = -k*f(x)
Now to find the value of k, we can just replace some of the values (for example, the first and the second one)
-48 = -k*64
48/64 = k
3/4 = k
Now, if we use any pair of consecutive terms we should get the same value of k, now let's try to use the second and third terms to see if we get the same value of k:
36 = -k*(-48)
36 = k*48
36/48 = k
3/4 = k
We got the same value, so we can conclude that k = (3/4)
Then the relation that describes this sequence is:
f(x + 1) = -(3/4)*f(x)
