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Sigmundmsa

Solve problems in moving straight ahead

QuestionAnswer
Why is Y=3X+2 a Linear Relationship? Y=3X+2 is a Linear Relationship because when using the equation, every time X goes up by one, Y will go up by 3, starting with 2.
Why is Y=X*X not a linear relationship? Y=X*X is not a linear relationship because X*X is basically X squared, and if it has an exponent it is a quadratic equation instead of a linear equation
Is (1,2) (2,4) (3,6) a linear relationship? Why? It is a linear relationship because every time the X goes up by one, the Y goes up by 2.
Is (1,2) (3,5) (4,7) a linear relationship? Why? It is not a linear relationship because X and Y don't go up by the same number every time.
Find the rate of change for (-1,5) (-2,-3). The rate of change for (-1,5) (-2,-3) is 8.
Find the rate of change for (-4,-1) (-1,-1). The rate of change for (-4,-1) (-1,-1)
What are linear relationships? Linear relationships are relationships between X and Y that are represented by straight lines on graphs or equations like Y=X2
Is Y=X5 a linear relationship? Yes, every time X increases by one, Y increases by 5
Is Y=X9.4+3 a linear relationship? Yes, every time X increases by one, Y increases by 9.4, starting with 3 instead of 0
What is the difference between a linear relationship and a linear function? There is no difference between a linear relationship and a linear function, they mean the exact same thing.
What is a coefficient? A coefficient is a number multiplied by a variable in an equation, like the 10 in Y=10X+4.
What is a constant? A constant is a number in an equation that is either added or subtracted from a variable, like the 4 in Y=10X+4.
What is a point of intersection? A point of intersection is the point where two lines cross, or intersect.
What is an X-intercept? An X-intercept is the point where a line crosses the X axis.
What is a Y-intercept? A Y-intercept is the point where a line crosses the Y axis.
What is a run? A run is the horizontal change between two points on a graph.
What is a rise? A rise is the vertical change between two points on a graph.
What is the point of origin? The point of origin is the point labeled (0,0), or the point in the center of the coordinate plane.
Why is Y=6X a linear relationship? Y=6X is a linear relationship because every time 6 goes up by 1, Y goes up by 6.
Is Y=3.5X-4 a linear relationship? Why or why not? Y=3.5X-4 is a linear relationship because every time X goes up by 1, Y goes up by 3.5, starting with -4.
Is Y=2X a linear relationship? Why or why not? Y=2X is a linear relationship because X goes up by 1 as Y goes up by 2.
Is Y=6X a linear relationship? Why or why not? Y=6X is a linear relationship because X goes up by 1 as Y goes up by 6.
Created by: Esigmund