What is Quadratic form
2 answers:
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Answer:
Step-by-step explanation:
Q2:
The point-slope form of an equation of a line:
m - slope
The formula of a slope:
We have the points (4, 6) and (6, 10). Substitute:
<em>use distributive property</em>
<em>add 6 to both sides</em>
<em>subteact 2 from both sides</em>
Q4:
The slope-intercept form of an equation of a line:
m - slope
b - y-intercept
Put the slope m = 3 and the coordinateso f the point (-2, 6) to the point-slope form of an equation of a line:
<em>use distributive property</em>
<em>add 6 to both sides</em>
Answer:
3y = -2x -7
Step-by-step explanation:
The equation of the line;
y = x + 8
Unknown:
Equation of the line passing through (4, -5);
Solution:
To solve this problem;
the equation of a line is given as;
y = mx + c
where x and y are the coordinate
m is the slope
c is the intercept
To solve this problem,
The slope if the same as that of the new line since they are parallel;
Equation of the new line;
x = 4 and y = -5
-5 = x 4 + c
-5 = + c
c = -5 +
c =
So, the equation of the line is;
y = x -
or ;
3y = -2x -7
We want to see if the given function represents a linear function.
We will see that yes, it does.
So we have the function:
y = f(x) = 30 + 5*x
And a general linear function is written as:
y = a*x + b
where a is the slope and b is the y-intercept.
Comparing these two, we can see that both have the same general shape, thus, our function is also a linear function.
A graph of our function also can be seen below, where it is evident that it is a line.
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