Given two points, the equation of the line may be determined by,
y - y1 = ((y2 - y1) / (x2 - x1))(x - x1)
Substituting the given values,
y - 7 = ((9 - 7) / (6 - 3))(x - 3)
Simplification will yield to an answer of,
y = 2x/3 +5
Therefore, the answer is the second choice.
F(x) = 5x - 6 and g(x) = x^2 - 5x + 6
(f - g)(x) = 5x - 6 - x^2 + 5x - 6 = -x^2 + 10x - 12
(f - g)(x) = -x^2 + 10x - 12
Answer:
x + y = 29, 5x + 2y = 100
Step-by-step explanation:
First, create an equation based on how there are 29 problems on the test.
x + y represents all of the questions on the test, so it should be set equal to 29.
The first equation is x + y = 29.
Now, create an equation based on how the test is worth 100 points.
5x will represent the points from the questions worth 5 points, and 2y will represent the points from the questions worth 2 points.
These terms will be added together, and set equal to 100.
The second equation is 5x + 2y = 100.
So, the system of equations is x + y = 29, 5x + 2y = 100
Answer:
Step-by-step explanation:
The slope of all lines in quadrant 1 is positive. FALSE
The slope of a line does not depend on the quadrant.
The slope of <u>all lines</u> that pass through the origin is undefined.FALSE
The slope of some lines that pass trough the origin are undefined ( lines that are vertical have undefined slope)
The larger the slope, the longer the line.FALSE
The lines do not get longer or shorter because they go to infinity in both directions.
The larger the magnitude of the slope value, the steeper the line. TRUE
The larger the absolute value of the slope the steeper the slope.
