3 8 - ÷ - what is that 4 9
1 answer:
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First let's talk about the blue line.
You can see its rising so its slope is certainly positive. But by how much is it rising? You can observe that each unit it rises it goes 1 forward and 1 up so its slope is the ratio of 1 up and 1 forward which is just 1.
We have thusly,
Now look at where blue line intercepts y-axis, -1. That is our n.
So the blue line has the equation of,
Next the black lines. The black lines are axes so their equations are a bit different.
First let's deal with x-axis, does it have slope? Yes but it is 0. The x-axis is still, not rising nor falling. Where does x-axis intercept y-axis? At 0. So the equation would be,
Now we have y-axis. Does y axis have a slope? Yes but it is . The y-axis rises infinitely in no run. Where does it intercept y-axis? Everywhere! So what should the equation be? What if we ask where does y-axis intercept x-axis and write its equation in terms of x. Y-axis intercepts x-axis at 0 which means its equation is,
That is, every point of a form lies on y-axis.
Hope this helps :)
Answer:
<u>Question 1:</u>
Draw a line that crosses the largest number of dots. Then use the line to check the best prediction of the number of baseballs that will be used if 275 pitches are thrown.
<u>Question 2:</u>
A). y = 1.2x - 6
<u>Question 3:</u>
J). y =
<u>Question 4:</u>
F). f(n) = -3n + 24 *<em>Although it doesn't work when f(n) = 6 and n = 6*</em>
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Step-by-step explanation:
<u>Question 2:</u>
The line passes throught point (5, 0) and is parallel to the line whose equation is y = 1.2x + 3.8
For parallel lines, their values of slope is the same.
So our line, that passes through point (5, 0), also has a slope of 1.2
Taking another point (x, y) on our line;
Slope = change in y ÷ change in x
1.2 =
y = 1.2x - 1.2(5)
y = 1.2x - 6
<u>Question 3:</u>
The line passes x-axis at point (36, 0)
The line is perpendicular to another line whose equation is y = - + 5
For perpendicular lines, the product of their slopes = -1
Let's say the slope of our unknown line is a ;
Given: The slope of our second line is -4/9
So,
a × -4/9 = -1
a = -1 × -9/4 = 9/4
Taking another point (x, y) on our unknown line;
Slope = change in y ÷ change in x
9/4 =
Cross-multiplying that you get;
y =
<u>Question 4:</u>
The function that model that situation is f(n) = -3n + 24 though it doesn't work when f(n) = 6 and n = 6